Results 51 to 60 of about 708,128 (192)
Results in Injective Envelope and Indecomposable Injective Modules
پژوهشهای ریاضی, 2021 Introduction Throughout this paper, is a commutative ring with non-zero identity and is an -module. The study of injective modules is very important in commutative algebra and homological Algebra.
Masoumeh Hasanzad +2 more
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FINITENESS PROPERTIES OF FORMAL LOCAL HOMOLOGY MODULES [PDF]
Romanian Journal of Mathematics and Computer Science, 2015 Let (R, m) be a commutative Noetherian ring, a an ideal of R and M an Artinian R-module. In this paper, we investigate the structure of the formal local homology. We prove several results concerning finiteness properties of formal local homology module.
M. H. BIJAN-ZADEH,, S. GHADERI
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On the structure of some minimax-antifinitary modules
Karpatsʹkì Matematičnì Publìkacìï, 2015 Let $R$ be a ring and $G$ a group. An $R$-module $A$ is said to be {\it minimax} if $A$ includes a noetherian submodule $B$ such that $A/B$ is artinian.
V.A. Chupordia
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Semi-Simple Artinian Rings of Fixed Points
, 1975 Let G be a finite group of automorphisms of the ring R, and let RG denote the ring of fixed points of G in R; that is, RG={x∊R|Xg = x,∀∊ G}. Let |G| denote the order of G. In this note, we prove the following:Theorem.Assume that R has no nilpotent ideals
Miriam Cohen, Susan Montgomery
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On Semiprime Noetherian PI-Rings [PDF]
, 2000 Let R be a semiprime Noetherian PI-ring and Q(R) the semisimple Artinian ring of fractions of R. We shall prove the following conditions are equivalent: (1) the Krull dimention of R is at most one, (2) Any ring between R and Q(R) is again right ...
Chiba, Katsuo
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, 2007 The notion of determinant groupoid is a natural outgrowth of the theory of the Sato Grassmannian and thus well-known in mathematical physics. We briey sketch here a version of the theory of determinant groupoids over an artinian local ring, taking ...
Greg W. Anderson +3 more
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, 1979 Let R be a ring with identity and let θ \theta be a group homomorphism from a group G to Aut ( R ) {\operatorname {Aut}}(R) , the group of automorphisms of R.
Jae Keol Park
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A characterization of Artinian rings whose endomorphism rings have finite global dimension
, 1988 We prove that if Λ \Lambda is a left artinian ring having the property that for every idempotent e e , the ring e Λ e e\Lambda e has finite global dimension then Λ \
Dan Zacharia
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Some Properties of the Nil-Graphs of Ideals of Commutative Rings
پژوهشهای ریاضی, 2022 Let R be a commutative ring with identity and Nil(R) be the set of nilpotent elements of R. The nil-graph of ideals of R is defined as the graph AG_N(R) whose vertex set is {I:(0)and there exists a non-trivial ideal such that and two distinct vertices
Reza Nikandish
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On the girth of regular digraph of ideals of an Artinian ring
AKCE International Journal of Graphs and Combinatorics, 2015 Let R be a commutative ring. The regular digraph of ideals of R, denoted by Γ(R), is a digraph whose vertex-set is the set of all non-trivial ideals of R and, for every two distinct vertices I and J, there is an arc from I to J, whenever I contains an ...
Masoud Karimi
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