Results 11 to 20 of about 195 (135)
On the rings whose injective right modules are max-projective [PDF]
Recently, right almost-QF (respectively, max-QF) rings that is the rings whose injective right modules are R-projective (respectively, max-projective) were studied by the first two authors. In this paper, our aim is to give some further characterizations
ALAGÖZ, YUSUF +2 more
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Noetherian Rings between a Semilocal Domain and Its Completion [PDF]
, 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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On the Relative K(2) of Non Commutative Local Rings. [PDF]
, 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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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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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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Analytically unramified one-dimensional semilocal rings and their value semigroups [PDF]
, 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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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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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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, 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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Dualizing Complexes over Noncommutative Local Rings [PDF]
, 2001 We prove an existence theorem for dualizing complexes over noncommutative noetherian complete semilocal algebras, which generalizes Van den Bergh's existence theorem in the graded case. Using the dualizing complex, noncommutative versions of Bass theorem
Wu, Q.-S, Zhang, J.J
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