Results 1 to 10 of about 398 (180)
Commutativity theorems for rings and groups with constraints on commutators [PDF]
International Journal of Mathematics and Mathematical Sciences, 1984 Let n>1, m, t, s be any positive integers, and let R be an associative ring with identity. Suppose xt[xn,y]=[x,ym]ys for all x, y in R. If, further, R is n-torsion free, then R is commutativite.
Evagelos Psomopoulos
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On Commutativity Theorems for Rings [PDF]
Southeast Asian Bulletin of Mathematics, 2002 The author presents three commutativity theorems for rings. There are no rings satisfying the hypotheses of the first, and the second is trivial. The third, which asserts that a ring with 1 is commutative if it satisfies the identity \((x+y)^2=x^2+y^2\) and another extraneous hypothesis, is not new. In fact, \textit{C.-T.
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Characterizations of Commutativity of Prime Ring with Involution by Generalized Derivations
MathematicsIn the paper, we investigate the commutativity of a two-torsion free prime ring R provided with generalized derivations, and some well-known results that characterize the commutativity of prime rings through generalized derivations have been generalized.
Mingxing Sui, Quanyuan Chen
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A Pair of Derivations on Prime Rings with Antiautomorphism
Mathematics, 2023 This article examines the commutativity of rings with antiautomorphisms, specifically when they are equipped with derivations that satisfy certain algebraic identities.
Faez A. Alqarni +4 more
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Two Open Problems on CA-Groupoids and Cancellativities of T2CA-Groupoids
Axioms, 2022 Cyclic associative groupoids (CA-groupoids) and Type-2 cyclic associative groupoids (T2CA-groupoids) are two types of non-associative groupoids which satisfy cyclic associative law and type-2 cyclic associative law, respectively.
Xiaogang An, Xiaohong Zhang, Zhirou Ma
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A Characterization of Semiprime Rings with Homoderivations
Journal of New Theory, 2023 This paper is focused on the commutativity of the laws of semiprime rings, which satisfy some algebraic identities involving homoderivations on ideals. It provides new and notable results that will interest researchers in this field, such as “R contains ...
Emine Koç Sögütcü
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Common Fixed Point Theorems in Intuitionistic Generalized Fuzzy Cone Metric Spaces
Mathematics, 2020 In the present work, we study many fixed point results in intuitionistic generalized fuzzy cone metric space. Precisely, we prove new common fixed point theorems for three self mappings that do not require any commutativity or continuity but a ...
Mathuraiveeran Jeyaraman +2 more
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A Commutativity Theorem for Rings [PDF]
Proceedings of the American Mathematical Society, 1976 Let R R be any associative ring. Suppose that for every pair
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On Voiculescu’s double commutant theorem [PDF]
Proceedings of the American Mathematical Society, 1996 For a separable infinite-dimensional Hilbert space H H , we consider the full algebra of bounded linear transformations
Berger, C. A., Coburn, L. A.
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A Unique Common Fixed Point for an Infinity of Set-Valued Maps
Annales Mathematicae Silesianae, 2018 The main purpose of this paper is to establish some common fixed point theorems for single and set-valued maps in complete metric spaces, under contractive conditions by using minimal type commutativity and without continuity.
Bouhadjera Hakima
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