Results 91 to 100 of about 443,027 (142)
On Minimax and Related Modules
, 1992 A module M is called a minimax module, if it has a finitely generated submodule U such that M/U is Artinian. This paper investigates minimax modules and some generalized classes over commutative Noetherian rings.
Peter Rudlof
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Rings Whose Cyclic Modules Are Direct Sums Of Extending Modules
, 2012 Dedekind domains, Artinian serial rings and right uniserial rings share the following property: Every cyclic right module is a direct sum of uniform modules. We first prove the following improvement of the well-known Osofsky-Smith theorem: Acyclic module
Er, Noyan +4 more
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The Relationships between Relatively Cancellation Modules and Certain Types of Modules [PDF]
Let R be a commutative ring with identity and M be unitary (left) R-module. The principal aim of this paper is to study the relationships between relatively cancellation module and multiplication modules, pure submodules and Noetherian (Artinian ...
Khalaf, Hatem Yahya
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Some applications of a criterion for artinianness of a module
Journal of Pure and Applied Algebra, 1995 The author uses several methods to prove that certain local and Koszul (co)homology modules over commutative rings are Artinian, Noetherian, or finite. Some of the results appear to be new, while others strengthen or reprove known theorems. Also, a version of the Fredholm index is presented and applied to the detection of chain conditions in modules.
openaire +1 more source
Pontryagin product on Artinian modules
, 2007 We want to study the structure of vector bundles after tenser product. But by cite{mukai}'s result, to investigate tensor product of vector bundles is equivalent to investigate Pontryagin product on the corresponding objects.
蘇哲聖, Su, Che-Sheng
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Existence of Exact Zero Divisors and Totally Reflexive Modules in Artinian Rings [PDF]
, 2017 In this dissertation, we consider commutative local Artinian rings (A, m, k), which are rings that satisfy the descending chain condition on ideals. First, we investigate the existence of exact zero divisors in Artinian Gorenstein rings.
Sharma Poudyal, Basanti
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When do modules mimic arbitrary sets?
We study rings whose modules and module homomorphisms display behavior similar to that of sets and their maps. For example, whenever there is an epimorphism (Formula presented.), there is a monomorphism (Formula presented.) (Artinian principal ideal ...
ER, NOYAN FEVZİ
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Rings over which all modules are I0-modules. II [PDF]
, 2009 All right R-modules are I0-modules if and only if either R is a right SV-ring or R/I(2) (R) is an Artinian serial ring such that the square of the Jacobson radical of R/I(2) (R) is equal to zero.
Abyzov A., Tuganbaev A.
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Rings over which all modules are I0-modules. II
, 2020 All right R-modules are I0-modules if and only if either R is a right SV-ring or R/I(2) (R) is an Artinian serial ring such that the square of the Jacobson radical of R/I(2) (R) is equal to zero.
Abyzov A., Tuganbaev A.
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