Results 11 to 20 of about 557 (139)

Flat modules over commutative noetherian rings [PDF]

open access: yesTransactions of the American Mathematical Society, 1970
In this work we study flat modules over commutative noetherian rings under two kinds of restriction: that the modules are either submodules of free modules or that they have finite rank. The first ones have nicely behaved annihilators: they are generated by idempotents.
Wolmer V. Vasconcelos
openaire   +3 more sources

Cosupport computations for finitely generated modules over commutative noetherian rings [PDF]

open access: yesJournal of Algebra, 2018
Comments are welcome; some minor changes made throughout the ...
Thompson, Peder,
openaire   +5 more sources

COMMUTATIVE RINGS AND MODULES THAT ARE r-NOETHERIAN [PDF]

open access: yes, 2021
In this paper, we introduce and investigate a new class of modules that is closely related to the class of Noetherian modules. Let R be a commutative ring and M be an R-module. We say that M is an r-Noetherian module if every r-submodule of M is finitely

core   +2 more sources

Upper Cohen-Macaulay Dimension [PDF]

open access: yes, 2004
In this paper, we define a homological invariant for finitely generated modules over a commutative noetherian local ring, which we call upper Cohen-Macaulay dimension.
Tokuji Araya   +5 more
core   +1 more source

LINKAGE AND DUALITY OF MODULES [PDF]

open access: yes, 2009
Martsinkovsky and Strooker [13] recently introduced module theoretic linkage using syzygy and transpose. This generalization brings possibility of much application of linkage, especially, to homological theory of modules. In the present paper, we connect
Nishida, Kenji, Kenji Nishida
core   +1 more source

Smarandache rings [PDF]

open access: yes, 2002
Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
core   +1 more source

Commutative Rings And Modules [PDF]

open access: yes, 2023
U ovom diplomskom radu napravljen je koncpet komuntativnih prstenova i modula. Nakon definiranja osnovnih pojmova i teorema iz teorije prstenova, baziramo se na komutativne prstenove i module.
Gavran, David
core   +2 more sources

Asymptotic behaviour of ideals relative to injective modules over commutative Noetherian rings II [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 1991
Let E be an injective module over a commutative Noetherian ring A (with non-zero identity), and let a be an ideal of A. The submodule (0:Eα) of E has a secondary representation, and so we can form the finite set AttA(0:Eα) of its attached prime ideals.
Toroghy, H. Ansari, Sharp, R. Y.
openaire   +3 more sources

Local Cohomology Modules and Relative Cohen-Macaulayness

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
Let (R, 𝔪) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal 𝔞 of R and give some results on such rings in relation with Artinianness, Non ...
Zohouri M. Mast
doaj   +1 more source

Subrings of I-rings and S-rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
doaj   +1 more source

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