op" width=4 background="images/shadow.gif">    

Nicolae Popescu

Email: nicolae@sms.edu.pk

Course: Algebra

Publications (Reviews from MathSciNet: 1-49 50-90)

[1] MR2028703 Alexandru, Victor; Popescu, Nicolae; Zaharescu, Alexandru Good elements and metric invariants in $B\sp +\sb {\rm dR}$. J. Math. Kyoto Univ. 43 (2003), no. 1, 125--137.

[2] Popescu, Angel; Popescu, Nicolae; Zaharescu, Alexandru On the spectral norm of algebraic numbers. Math. Nachr. 260 (2003), 78--83.
[3] Popescu, Angel; Popescu, Nicolae; Zaharescu, Alexandru Galois structures on plane compacts. J. Algebra 270 (2003), no. 1, 238--248.

[4] Popescu, Angel; Popescu, Nicolae; Zaharescu, Alexandru Metric invariants over Henselian valued fields. J. Algebra 266 (2003), no. 1, 14--26.

[5] Xie, Guangming; Kobayashi, Shigeru; Marubayashi, Hidetoshi; Popescu, Nicolea; Vraciu, Constantin Total valuation rings of Ore extensions. Results Math. 43 (2003), no. 3-4, 373--379.

[6] Popescu, Angel; Popescu, Nicolae; Zaharescu, Alexandru Trace series on $\tilde{\Bbb Q}\sb K$. Results Math. 43 (2003), no. 3-4, 331--342.

[7] Popescu, Angel; Popescu, Nicolae; Zaharescu, Alexandru Transcendental divisors and their critical functions. Manuscripta Math. 110 (2003), no. 4, 527--541.

[8] Popescu, Nicolae Galois action on plane compacts. Proceedings of the 35th Symposium on Ring Theory and Representation Theory (Okayama, 2002), 113--120, Symp. Ring Theory Represent Theory Organ. Comm., Okayama, 2003.

[9] Xie, Guangming; Kobayashi, Shigeru; Marubayashi, Hidetoshi; Popescu, Nicolae Total valuation rings of Ore extensions. Proceedings of the 35th Symposium on Ring Theory and Representation Theory (Okayama, 2002), 95--99, Symp. Ring Theory Represent Theory Organ. Comm., Okayama, 2003.

[10] Khanduja, Sudesh K.; Popescu, N.; Roggenkamp, K. W. On minimal pairs and residually transcendental extensions of valuations. Mathematika 49 (2002), no. 1-2, 93--106 (2004).

[11] Kobayashi, Shigeru; Marubayashi, Hidetoshi; Popescu, Nicolae; Vraciu, Constantin Total valuation rings of $K(X,\sigma)$ containing $K$. Comm. Algebra 30 (2002), no. 11, 5535--5546.

[12] Fontana, Marco; Popescu, Nicolae Universal property of the Kaplansky ideal transform and affineness of open subsets. J. Pure Appl. Algebra 173 (2002), no. 2, 121--134.

[13] Popescu, A.; Popescu, N.; Vâjâitu, M.; Zaharescu, A. Chains of metric invariants over a local field. Acta Arith. 103 (2002), no. 1, 27--40.

[14] Fontana, Marco; Popescu, Nicolae Nagata transforms and localizing systems. Comm. Algebra 30 (2002), no. 5, 2297--2308.

[15] Popescu, E. L.; Popescu, N.; Vraciu, C. Completion of the spectral extension of $p$-adic valuation. Rev. Roumaine Math. Pures Appl. 46 (2001), no. 6, 805--817 (2002).

[16] Alexandru, Victor; Popescu, Nicolae; Zaharescu, Alexandru Metric invariants in $B\sp +\sb {\rm dR}$ associated to differential operators. Rev. Roumaine Math. Pures Appl. 46 (2001), no. 5, 551--564 (2002).

[17] Pasol, Vicentiu; Popescu, Angel; Popescu, Nicolae Spectral norms on valued fields. Math. Z. 238 (2001), no. 1, 101--114.

[18] Alexandru, Victor; Popescu, Nicolae; Zaharescu, Alexandru Trace on ${\Bbb C}\sb p$. J. Number Theory 88 (2001), no. 1, 13--48.

[19]Alexandru, Victor; Popescu, Nicolae; Zaharescu, Alexandru The generating degree of $\bold C\sb p$. Canad. Math. Bull. 44 (2001), no. 1, 3--11.

[20] Gabelli, Stefania; Popescu, Nicolae Invertible and divisorial ideals of generalized Dedekind domains. J. Pure Appl. Algebra 135 (1999), no. 3, 237--251.

[21] Alexandru, V.; Popescu, A.; Popescu, N. Completion of r.t. extensions of local fields. II. Rend. Sem. Mat. Univ. Padova 100 (1998), 57--66.

[22] Alexandru, V.; Popescu, N. The Lüroth's theorem for some complete valued fields. Abelian groups, module theory, and topology (Padua, 1997), 55--58, Lecture Notes in Pure and Appl. Math., 201, Dekker, New York, 1998.

[23] Alexandru, Victor; Popescu, Nicolae; Zaharescu, Alexandru On the closed subfields of $C\sb p$. J. Number Theory 68 (1998), no. 2, 131--150.

[24] Popescu, N.; Zaharescu, A. On the main invariant of an element over a local field. Portugal. Math. 54 (1997), no. 1, 73--83.

[25] Fontana, Marco; Popescu, Nicolae On a class of domains having Prüfer integral closure: the FQR-domains. Commutative ring theory (Fès, 1995), 303--312, Lecture Notes in Pure and Appl. Math., 185, Dekker, New York, 1997.

[26] Popescu, Nicolae; Vraciu, Constantin On the extension of a valuation on a field $K$ to $K(X)$. II. Rend. Sem. Mat. Univ. Padova 96 (1996), 1--14.


[27] Alexandru, Victor; Popescu, Angel; Popescu, Nicolae Completion of r.t. extensions of local fields. I. Math. Z. 221 (1996), no. 4, 675--682.

[28] Iordache, M.; Cristea, P.; Spinei, F.; Dumitriu, Lucia; Popescu, N. A diakoptic method for tree and $s$-forest generation without duplication. Rev. Roumaine Sci. Tech. Sér. Électrotech. Énergét. 40 (1995), no. 4, 461--471.

[29] Fontana, Marco; Popescu, Nicolae Sur une classe d'anneaux de Prüfer avec groupe de classes de torsion. (French) [A class of Prufer rings with torsion class group] Comm. Algebra 23 (1995), no. 12, 4521--4533.

[30] Popescu, Nicolae; Zaharescu, Alexandru On the structure of the irreducible polynomials over local fields. J. Number Theory 52 (1995), no. 1, 98--118.

[31] Fontana, Marco; Popescu, Nicolae Sur une classe d'anneaux qui généralisent les anneaux de Dedekind. (French) [A class of rings that generalize Dedekind rings] J. Algebra 173 (1995), no. 1, 44--66.

[32] Popescu, Nicolae; Zaharescu, Alexandru On a class of valuations on $K(X)$. XIth National Conference of Algebra (Constan\c ta, 1994). An. \c Stiin\c t. Univ. Ovidius Constan\c ta Ser. Mat. 2 (1994), 120--136.

[33] Alexandru, Victor; Popescu, Nicolae Some elementary remarks about $n$-local fields. Rend. Sem. Mat. Univ. Padova 92 (1994), 17--28.

[34] Popescu, Nicolae; Vraciu, Constantin On the extension of valuations on a field $K$ to $K(X)$. I. Rend. Sem. Mat. Univ. Padova 87 (1992), 151--168.

[35] Popescu, Elena-Liliana; Popescu, Nicolae A characterization of generalized-Dedekind domains. Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 35(83) (1991), no. 1-2, 139--141.

[36] Popescu, Liliana; Popescu, Nicolae On the residual transcendental extensions of a valuation. Key polynomials and augmented valuation. Tsukuba J. Math. 15 (1991), no. 1, 57--78.

[37] Alexandru, V.; Popescu, N.; Zaharescu, A. All valuations on $K(X)$. J. Math. Kyoto Univ. 30 (1990), no. 2, 281--296.

[38] Alexandru, V.; Popescu, N.; Zaharescu, Al. Minimal pairs of definition of a residual transcendental extension of a valuation. J. Math. Kyoto Univ. 30 (1990), no. 2, 207--225.

[39] Popescu, Liliana; Popescu, Nicolae Sur la définition des prolongements résiduels transcendents d'une valuation sur un corps $K$ à $K(X)$. (French) [On the definition of transcendental residual extensions to $K(X)$ of a valuation over a field $K$] Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.) 33(81) (1989), no. 3, 257--264.

[40] Alexandru, Victor; Popescu, Nicolae; Zaharescu, Alexandru A theorem of characterization of residual transcendental extensions of a valuation. J. Math. Kyoto Univ. 28 (1988), no. 4, 579--592.


[41] Alexandru, Victor; Popescu, Nicolae Sur une classe de prolongements à $K(X)$ d'une valuation sur un corps $K$. (French) [On a class of extensions to $K(X)$ of a valuation over a field $K$] Rev. Roumaine Math. Pures Appl. 33 (1988), no. 5, 393--400.

[42] Popescu, Elena-Liliana; Popescu, Nicolae On a class of intermediate subfields. Stud. Cerc. Mat. 39 (1987), no. 2, 156--162.

[43] Popescu, Nicolae On a problem of Nagata in valuation theory. Rev. Roumaine Math. Pures Appl. 31 (1986), no. 7, 639--641.

[44] Popescu, Nicolae Local class field theory. II. (Romanian) Stud. Cerc. Mat. 38 (1986), no. 2, 107--138.

[45] Alexandru, Victor; Popescu, Nicolae On subfields of $k(x)$. Rend. Sem. Mat. Univ. Padova 75 (1986), 257--273.

[46] Popescu, Nicolae Local class field theory. I. (Romanian) Stud. Cerc. Mat. 37 (1985), no. 4, 295--312.

[47] Popescu, Nicolae; Vraciu, Constantin On Dedekind domains in infinite algebraic extensions. Rend. Sem. Mat. Univ. Padova 74 (1985), 39--44.


[48] Popescu, Nicolae; Vraciu, Constantin Galois theory of permitted extensions of commutative regular rings. Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.) 29(77) (1985), no. 2, 121--135.

[49] Popescu, Nicolae On a class of Prüfer domains. Rev. Roumaine Math. Pures Appl. 29 (1984), no. 9, 777--786.

[50] Popescu, Nicolae Sur une classe de polynômes irréductibles. (French) [On a class of irreducible polynomials] C. R. Acad. Sci. Paris Sér. I Math. 297 (1983), no. 1, 9--11.

[51] Popescu, Nicolae; Vraciu, Constantin Sur un problème d'Arens et Kaplansky concernant la structure de quelques anneaux absolument plats commutatifs. (French) [On a problem of Arens and Kaplansky concerning the structure of some absolutely flat commutative rings] Rev. Roumaine Math. Pures Appl. 27 (1982), no. 8, 867--874.

[52] Popescu, Nicolae Sur la sous-catégorie localisante associée à un idéal bilatéral premier dans un anneau noethérien (à droite). (French) [On the localizing subcategory associated with a prime bilateral ideal in a (right) Noetherian ring] Rev. Roumaine Math. Pures Appl. 26 (1981), no. 7, 1033--1042.

[53] Popescu, Nicolae; Popescu, Liliana Theory of categories. Martinus Nijhoff Publishers, The Hague; Sijthoff & Noordhoff International Publishers, Alphen aan den Rijn, 1979. x+337 pp. ISBN: 90-286-0168-6.

[54] Popescu, Nicolae; Vraciu, Constantin Some remarks about the regular ring associated to a commutative ring. Rev. Roumaine Math. Pures Appl. 23 (1978), no. 2, 269--277.

[55] Popescu, Nicolae; Vraciu, Constantin Sur la structure des anneaux absoluments plats commutatifs. J. Algebra 40 (1976), no. 2, 364--383.

[56] Popescu, Nicolae Sur l'anneau des quotients d'un anneau noethérien à droite par rapport au système localisant associé à un idéal bilatère premier. (French) C. R. Acad. Sci. Paris Sér. A-B 283 (1976), no. 14, Ai, A967--A969.

[57] Popescu, Nicolae; Spircu, Tiberiu Permanence theorems for semi-Artinian rings. Rev. Roumaine Math. Pures Appl. 21 (1976), no. 2, 227--231.

[58] Popescu, Nicolae; Spircu, Tiberiu Examples of semi-Artinian rings. (Romanian) Stud. Cerc. Mat. 26 (1974), 1153--1157.


[59] Popescu, Nicolae; Vraciu, Constantin Some remarks about semi-Artinian rings. Rev. Roumaine Math. Pures Appl. 18 (1973), 1413--1422.

[60] Popescu, N. Abelian categories with applications to rings and modules. London Mathematical Society Monographs, No. 3. Academic Press, London-New York, 1973. xii+467 pp.

[61] Popescu, Nicolae Quelques considérations sur les anneaux semi-artiniens commutatifs. (French) C. R. Acad. Sci. Paris Sér. A-B 276 (1973), A1545--A1548.

[62] Popescu, Nicolaie Théorie primaire de la décomposition dans les anneaux semi-noethériens. (French) J. Algebra 23 (1972), 482--492.

[63] Popescu, Nicolae Categorii abeliene. (Romanian) [Abelian categori] Editura Academiei Republicii Socialiste România, Bucharest, 1971. 312 pp.

[64] Popescu, Nicolaie Sur les C. P.-anneaux. (French) C. R. Acad. Sci. Paris Sér. A-B 272 1971 A1493--A1496.

[65] Popescu, Nicolae Le spectre à gauche d'un anneau. (French) J. Algebra 18 1971 213--228.

[66] Popescu, Nicolaie Les anneaux semi-noethériens. (French) C. R. Acad. Sci. Paris Sér. A-B 272 1971 A1439--A1441.

[67] Popescu, Nicolae; Spulber, Dorian Sur les quasi-ordres (à gauche) dans un anneau. (French) J. Algebra 17 1971 474--481.

[68] Popescu, Nicolae; Spircu, Tiberiu Quelques observations sur les épimorphismes plats (à gauche) d'anneaux. (French) J. Algebra 16 1970 40--59.

[69] N\u ast\u asescu, C.; Popescu, N. On the localization ring of a ring. J. Algebra 15 1970 41--56.

[70] Popescu, Nicolae; Spircu, Tiberiu Sur les épimorphismes plats d'anneaux. (French) C. R. Acad. Sci. Paris Sér. A-B 268 1969 A376--A379.

[71] N\u ast\u asescu, Constantin; Popescu, Nicolae Anneaux semi-artiniens. (French) Bull. Soc. Math. France 96 1968 357--368.

[72] Bucur, Ion; Deleanu, Aristide Introduction to the theory of categories and functors. With the collaboration of Peter J. Hilton and Nicolae Popescu. Pure and Applied Mathematics, Vol. XIX Interscience Publication John Wiley & Sons, Ltd., London-New York-Sydney 1968 x+224 pp.

[73] Popescu, Nicolae Elements of the theory of sheaves. VI. (Romanian) Stud. Cerc. Mat. 19 1967 205--240.

[74] Popescu, Nicolae Théorie générale de la décomposition. (French) Rev. Roumaine Math. Pures Appl. 12 1967 1365--1371.

[75] N\u ast\u asescu, Constantin; Popescu, Nicolae Quelques observations sur les topos abéliens. (French) Rev. Roumaine Math. Pures Appl. 12 1967 553--563.

[76] Popescu, Nicolae Elements of the theory of sheaves. V. (Romanian) Stud. Cerc. Mat. 18 1966 945--991.

[77] Popescu, Nicolae; Radu, Alexandru Morphismes et co-morphismes des topos abéliens. (French) Bull. Math. Soc. Sci. Math. R. S. Roumanie 10 (58) 1966 319--328 (1967).

[78] Popescu, Nicolae Elements of the theory of sheaves. II, III, IV. (Romanian) Stud. Cerc. Mat. 18 1966 407--456, 547--583, 645--669.

[79] Popescu, Nicolae Elements of the theory of sheaves. I. (Romanian) Stud. Cerc. Mat. 18 1966 267--296.

[80] N\u ast\u asescu, Constantin; Popescu, Nicolae Sur la structure des objets de certaines catégories abéliennes. (French) C. R. Acad. Sci. Paris Sér. A-B 262 1966 A1295--A1297.

[81] B\u anic\u a, C.; Popescu, N. Quotient categories. (Romanian) Stud. Cerc. Mat. 17 1965 951--985.

[82] Popescu, Nicolae La localisation pour des sites. (French) Rev. Roumaine Math. Pures Appl. 10 1965 1031--1044.

[83] B\u anic\u a, C.; Popescu, N. Sur les catégories préabéliennes. (French) Rev. Roumaine Math. Pures Appl. 10 1965 621--633.

[84] B\u anic\u a, C.; Popescu, N. On preabelian categories. (Romanian) Stud. Cerc. Mat. 17 1965 563--575.

[85] Popescu, Nicolae; Radu, Alexandru La structure des modules injectifs sur un anneau à idéal principal. (French) Bull. Math. Soc. Sci. Math. Phys. R. P. Roumaine 8 (56) 1964 67--73.

[86] Popescu, Nicolae Modules with generalized differential. (Romanian) Stud. Cerc. Mat. 16 1964 791--800.

[87] Popescu, Nicolae Modules à différentielle généralisée. (French) Rev. Roumaine Math. Pures Appl. 9 1964 549--559.

[88] B\u anic\u a, Constantin; Popescu, Nicolae Quelques considérations sur l'exactitude des foncteurs. (French) Bull. Math. Soc. Sci. Math. Phys. R. P. Roumaine 7 (55) 1963 143--147.

[89] B\u anic\u a, Constantin; Popescu, Nicolae Generalized differentials. (Romanian) Com. Acad. R. P. Romîne 13 1963 523--528.

[90] Burghelea, Dan; Popescu, Nicolae On the singular homology of ${\rm CW}$-complexes. (Romanian) Acad. R. P. Romîne Stud. Cerc. Mat. 14 1963 115--134.