Results 11 to 20 of about 99 (88)
On a recent generalization of semiperfect rings [PDF]
, 2008 In a recent paper by Wang and Ding, it was stated that any ring which is generalized supplemented as a left module over itself is semiperfect. The purpose of this note is to show that Wang and Ding's claim is not true and that the class of generalized ...
Büyükaşık, Engin, Christian, Lomp
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Macdonald dual in the semilocal case and applications to local homology and local cohomology [PDF]
, 2021 In this work we study some topological aspects of commutative algebra. More precisely, we study characterizations and properties of linearly compact modules on semilocal rings and prove, for example, that these modules satisfy a topological duality.
Nascimento Filho, Antonival Lopes do
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Homomorphisms with Semilocal Endomorphism Rings Between Modules
, 2020 We study the category Morph(Mod-R) whose objects are all morphisms between two right R-modules. The behavior of the objects of Mod-R whose endomorphism ring in Morph(Mod-R) is semilocal is very similar to the behavior of modules with a semilocal ...
Campanini F. +2 more
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Noetherian Rings between a Semilocal Domain and Its Completion
, 1997 We consider a general technique for constructing local Noetherian integral domains. LetRbe a semilocal Noetherian domain with Jacobson radicalmand field of fractionsK. Letybe a nonzero element ofmand letR* be the (y)-adic completion ofR. For elements τ1,…
Rotthaus, Christel +2 more
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Rings for which every cosingular module is discrete
, 2020 In this paper we introduce the concepts of CD-rings and CD-modules. Let R be a ring and M be an R-module. We call R a CD-ring in case every cosingular R-module is discrete, and M a CD-module if every M-cosingular R-module in sigma[M] is discrete. If R is
Ali Reza MONİRİ HAMZEKOLAEE +7 more
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On the Relative K(2) of Non Commutative Local Rings.
, 1988 This dissertation examines topics in Algebraic K-Theory, concerning the computation of absolute and relative Milnor groups, K$\sb2$(R) and K$\sb2$(R,I), for both commutative and non-commutative classes of rings, including the relative K$\sb2$ of non ...
Russell, Robert B
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, 2022 © 2022 Elsevier GmbHIn this paper, we introduce the concept of a unit lifting morphism, a natural generalization of the classical notion “local morphism”, by providing several examples and investigating all its properties and interrelations with local ...
Özarslan, MELTEM, ÖZCAN, AYŞEN
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Analytically unramified one-dimensional semilocal rings and their value semigroups
, 2000 In a one-dimensional local ring R with finite integral closure each nonzerodivisor has a value in N-d, where d is the number of maximal ideals in the integral closure. The set of values constitutes a semigroup, the value semigroup of R.
D'Anna, M. +5 more
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Analysis of the magnetically induced current density of molecules consisting of annelated aromatic and antiaromatic hydrocarbon rings [PDF]
, 2016 Magnetically induced current susceptibilities and current pathways have been calculated for molecules consisting of two pentalene groups annelated with a benzene (1) or naphthalene (2) moiety.
Berger, Raphael J. F. +2 more
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A first course in noncommutative rings
, 2001 A First Course in Noncommutative Rings, an outgrowth of the author's lectures at the University of California at Berkeley, is intended as a textbook for a one-semester course in basic ring theory. The material covered includes the Wedderburn-Artin theory
Lam, T Y, T. Y. Lam
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