Results 41 to 50 of about 611,831 (181)
, 2011 The notion of almost Gorenstein ring given by Barucci and Fr{\"o}berg \cite{BF} in the case where the local rings are analytically unramified is generalized, so that it works well also in the case where the rings are analytically ramified.
Naoyuki Matsuoka +3 more
core
On n-flat modules and n-Von Neumann regular rings
International Journal of Mathematics and Mathematical Sciences, 2006 We show that each R-module is n-flat (resp., weakly n-flat) if and only if R is an (n,n−1)-ring (resp., a weakly (n,n−1)-ring). We also give a new characterization of n-Von Neumann regular rings and a characterization of weak n-Von Neumann regular rings ...
Najib Mahdou
doaj +1 more source
Composites Part C: Open Access, 2021 Modeling the effect of fatigue is important for predicting remaining life of damaged filament wound composite pressure vessels. This study shows how S-N curves can be measured that describe local fiber dominated fatigue failure on the scale of 0.25 mm ...
Eivind Hugaas, Andreas T. Echtermeyer
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Auslander-Reiten conjecture and Auslander-Reiten duality
, 2013 Motivated by a result of Araya, we extend the Auslander-Reiten duality theorem to Cohen-Macaulay local rings. We also study the Auslander-Reiten conjecture, which is rooted in Nakayama's work on finite dimensional algebras.
Araya +32 more
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Proceedings of the American Mathematical Society, 1963 This paper generalizes slightly a result of Kunz [1 ] and Nakai [2]. If R> S are commutative rings with identity we introduce a module D*(R/S) defined as the quotient of the module D(R/S) of S differentials of R by the submodule consisting of elements which are mapped to zero by every homomorphism of D(R/S) having values in a finitely generated R ...
openaire +2 more sources
Characterizing Jordan Derivable Maps on Triangular Rings by Local Actions
Journal of Mathematics, 2022 Suppose that T=TriA,ℳ,ℬ is a 2-torsion free triangular ring, and S=A,B|AB=0,A,B∈T∪A,X|A∈T, X∈P,Q, where P is the standard idempotent of T and Q=I−P. Let δ:T⟶T be a mapping (not necessarily additive) satisfying, A,B∈S⇒δA∘B=A∘δB+δA∘B, where A∘B=AB+BA is ...
Hoger Ghahramani +2 more
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MacWilliams Identities and Generator Matrices for Linear Codes over ℤp4[u]/(u2 − p3β, pu)
AxiomsSuppose that R=Zp4[u] with u2=p3β and pu=0, where p is a prime and β is a unit in R. Then, R is a local non-chain ring of order p5 with a unique maximal ideal J=(p,u) and a residue field of order p. A linear code C of length N over R is an R-submodule of
Sami Alabiad +2 more
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Perfect state transfer in unitary Cayley graphs over local rings [PDF]
Transactions on Combinatorics, 2014 In this work, using eigenvalues and eigenvectors of unitary Cayley graphs over finite local rings and elementary linear algebra, we characterize which local rings allowing PST occurring in its unitary Cayley graph.
Yotsanan Meemark , Songpon Sriwongsa
doaj
Gelfand local Bezout domains are elementary divisor rings
Karpatsʹkì Matematičnì Publìkacìï, 2015 We introduce the Gelfand local rings. In the case of commutative Gelfand local Bezout domains we show that they are an elementary divisor domains.
B.V. Zabavsky, O.V. Pihura
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Local rings of countable Cohen--Macaulay type [PDF]
, 2002 We prove (the excellent case of) Schreyer's conjecture that a local ring with countable Cohen--Macaulay type has at most a one-dimensional singular locus.
Huneke, Craig, Leuschke, Graham
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