Results 11 to 20 of about 25,825 (189)
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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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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Commutativity theorems for rings with constraints on commutators [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper, we generalize some well-known commutativity theorems for associative rings as follows: Let n>1, m, s, and t be fixed non-negative integers such that s≠m−1, or t≠n−1, and let R be a ring with unity 1 satisfying the polynomial identity ys[xn,
Hamza A. S. Abujabal
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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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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 B ( H ) B(H) and the unique non-trivial norm-closed two-sided ideal of compact operators K \mathcal K . We also consider the quotient
Berger, C. A., Coburn, L. A.
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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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A spectral commutant lifting theorem [PDF]
Transactions of the American Mathematical Society, 1991 The authors prove a spectral version of the commutant lifting theorem of Sy.-Nagy and Foias and give an application to a variant of the classical Nevanlinna-Pick interpolation problem where instead of the norm of the interpolating functions the spectral radius is bounded.
Bercovici, Hari +2 more
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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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Convolution Theorems for Clifford Fourier Transform and Properties [PDF]
, 2014 The non-commutativity of the Clifford multiplication gives different aspects from the classical Fourier analysis.We establish main properties of convolution theorems for the Clifford Fourier transform. Some properties of these generalized convolutionsare
Ashino, R. (Ryuichi) +2 more
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