Results 61 to 70 of about 187,447 (246)
Commutative reduced filial rings [PDF]
, 2007 A ring R is filial when for every I, J, if I is an ideal of J and J is an ideal of R then I is an ideal of R.
Sobolewska, M., Andruszkiewicz, R.R.
core
On Residually Reducible Representations on Local Rings
Journal of Algebra, 1999 Let \(A\) be a local Artinian ring with maximal ideal \(\mathcal M\), let \(R\) be an \(A\)-algebra and let \(\rho\) be an \(A\)-representation of \(R\). If the residual representation \(\overline\rho\) (that is, with values in the residue field) is absolutely irreducible, then it is well-known by a result of Carayol that \(\rho\) is completely ...
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Row reduced representations of behaviors over finite rings [PDF]
, 2007 Row reduced representations of behaviors over fields posses a number of useful properties. Perhaps the most important feature is the predictable degree property. This property allows a finite parametrization of the module generated by the rows of the row
Raquel Pinto +5 more
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On regular ideals in reduced rings
Filomat, 2017 Let R be a commutative ring with identity and X be a Tychonoff space. An ideal I of R is Von Neumann regular (briefly, regular) if for every a ? I, there exists b ? R such that a = a2b. In the present paper, we obtain the general form of a regular ideal in C(X) which is OA, for some closed subset A of ?X, for which Ac?X ? (P(X))?, where P(X)
Aliabady, A. R. +2 more
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On reduced rings and number theory [PDF]
, 1998 In this note we exhibit a connection between theory of associative rings and number theory by an example of necessary and sufficient conditions under which the integral group ring of a finite group is ...
Krempa, Jan
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Pointwise Semicommutative Rings [PDF]
, 2022 We call a ring R pointwise semicommutative if for any element a in R either l(a) or r(a) is an ideal of R. A class of pointwise semicommutative rings is a strict generalization of semicommutative rings.
Subba, Sanjiv +2 more
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, 2020 Let α be an endomorphism of an arbitrary ring R with identity. In this note, we introduce the notion of α -abelian rings which generalizes abelian rings. We prove that α -reduced rings, α -symmetric rings, α -semicommutative rings and α -Armendariz rings
Abdullah Harmancı +2 more
core
Basic examples and extensions of symmetric rings [PDF]
, 2005 Symmetric rings were introduced by Lambek to unify sheaf representations of commutative rings and reduced rings. We continue the study of symmetric rings, discussing basic examples and extensions.
Huh, Chan +3 more
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