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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.