Results 1 to 10 of about 371 (169)
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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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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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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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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Interval-Valued Pseudo Overlap Functions and Application
Axioms, 2022 A class of interval-valued OWA operators can be constructed from interval-valued overlap functions with interval-valued weights, which plays an important role in solving multi-attribute decision making (MADM) problems considering interval numbers as ...
Rong Liang, Xiaohong Zhang
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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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Fatou's theorem for non-commutative measures [PDF]
Advances in Mathematics, 2022 A classical theorem of Fatou asserts that the Radon-Nikodym derivative of any finite positive Borel measure, $ $, with respect to Lebesgue measure on the complex unit circle, is recovered as the non-tangential limits of its Poisson transform in the complex unit disk.
Jury, Michael T., Martin, Robert T. W.
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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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