Results 71 to 80 of about 5,631 (197)
Weighted Dual Covariance Moore-Penrose Inverses with respect to an Invertible Element in C*-Algebras
Journal of Applied Mathematics, 2014 We study several algebraic properties of dual covariance and weighted dual covariance sets in rings with involution and C*-algebras. Moreover, we show that the weighted dual covariance set, seen as a multivalued map, has some kind of continuity. Also, we
Hesam Mahzoon
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A Remark on the Commutativity of Algebraic Rings [PDF]
Nagoya Mathematical Journal, 1959 Let F be a commutative ring with unit element 1. A ring R is called an algebraic ring over F by Drazin, in his recent paper [2], when R is an algebra over F and every element x of R satisfies an equation of lower monic ...
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Canonical bases for subalgebras of factor algebras [PDF]
Computer Science Journal of Moldova, 1999 We introduce canonical bases for subalgebras of quotients of the commutative and non-commutative polynomial ring. The usual theory for Grobner bases and its counterpart for subalgebras of polynomial rings, also called SAGBI bases, are combined to obtain ...
P. Nordbeck
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, 2006 In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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Derivation Pairs on Rings and RNGs
Annales Mathematicae SilesianaeWe generalize a classical result about derivation pairs on function algebras. Specifically, we describe the forms of derivation pairs on rings and rngs (non-unital rings) which are not assumed to be commutative.
Ebanks Bruce
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A class of rings which are algebric over the integers
International Journal of Mathematics and Mathematical Sciences, 1979 A well-known theorem of N. Jacobson states that any periodic associative ring is commutative. Several authors (most notably Kaplansky and Herstein) generalized the periodic polynomial condition and were still able to conclude that the rings under ...
Douglas F. Rall
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Generalized derivations with power values on rings and Banach algebras [PDF]
Mathematica BohemicaLet $R$ be a prime ring and $I$ a nonzero ideal of $R.$ The purpose of this paper is to classify generalized derivations of $R$ satisfying some algebraic identities with power values on $I.$ More precisely, we consider two generalized derivations $F$ and
Abderrahman Hermas +2 more
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Algebras, rings and modules: Non-commutative algebras and rings; Volume 2
, 2017 The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction ...
Hazewinkel, M. (Michiel) +1 more
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Soft binary piecewise intersection operation
Vietnam Journal of Science, Technology and EngineeringSoft set theory has emerged as a novel approach to modelling uncertainty, addressing a wide range of theoretical and practical problems. In this study, we define a new soft set operation called “soft binary piecewise intersection operation” and explore ...
Aslıhan Sezgin +2 more
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Journal of Mathematical Analysis and Applications, 1996 A ring is called an \(I\)-ring, if and only if each non-nil right ideal contains an idempotent. The authors provide several geometric characterizations of \(C^*\)-algebras which are \(I\)-rings. For instance, a \(C^*\)-algebra is an \(I\)-ring if and only if its norm is strongly subdifferentiable on a dense subset.
Contreras, Manuel D. +2 more
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