Results 1 to 10 of about 40,225 (280)
ASSOCIATIVE RINGS SOLVED AS LIE RINGS
Наука и техника, 2011 The paper has proved that an associative ring which is solvable of a n- class as a Lie ring has a nilpotent ideal of the nilpotent class not more than 3×10n–2 and a corresponding quotient ring satisfies an identity [[x1, x2, [x3, x4]], x5] = 0.
M. B. Smirnov
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Morita contexts and unitary ideals of rings [PDF]
Proceedings of the Estonian Academy of Sciences, 2021 In this paper we study Morita contexts between rings without identity. We prove that if two associative rings are connected by a Morita context with surjective mappings, then these rings have isomorphic quantales of unitary ideals.
Kristo Väljako, Valdis Laan
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On the automorphism groups of some Leibniz algebras [PDF]
International Journal of Group Theory, 2023 We study the automorphism groups of finite-dimensional cyclic Leibniz algebras. In this connection, we consider the relationships between groups, modules over associative rings and Leibniz algebras.
Leonid Kurdachenko +2 more
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Free products of cyclic groups in groups of infinite unitriangular matrices
Математичні Студії, 2023 Groups of infinite unitriangular matrices over associative unitary rings are considered. These groups naturally act on infinite dimensional free modules over underlying rings. They are profinite in case underlying rings are finite.
A. Oliynyk
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Derivations of rings of infinite matrices
Researches in Mathematics, 2023 We describe derivations of several important associative and Lie rings of infinite matrices over general rings of coefficients.
O.O. Bezushchak
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Images of formal matrices of elements of matrix groups over associative rings
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 The paper substantiates the image by formal matrices of some elements of linear groups over associative rings by using the properties of redundant and fixed modules.
В. М. Петечук +1 more
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F1000Research, 2022 The reverse order law for outer inverses and the Moore-Penrose inverse is discussed in the context of associative rings. A class of pairs of outer inverses that satisfy reverse order law is determined.
Manjunatha Prasad Karantha +1 more
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Distributive Properties of Q−neutrosophic Soft Quasigroups [PDF]
Neutrosophic Sets and Systems, 2023 The Q−neutrosophic soft quasigroup is a mathematical innovation for dealing with indeterminate occurrences. The characterization of quasigroups using the concept of Q−neutrosophic soft set is an evolving area of study that, in recent times, has attracted
Oyobo Tunde Yakub +2 more
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The Mathematical Safe Problem and Its Solution (Part 2)
Кібернетика та комп'ютерні технології, 2021 Introduction. The problem of mathematical safe arises in the theory of computer games and cryptographic applications. The article considers numerous variations of the mathematical safe problem and examples of its solution using systems of linear ...
Sergii Kryvyi, Hryhorii Hoherchak
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Nonassociative Algebras, Rings and Modules over Them
Mathematics, 2023 The review is devoted to nonassociative algebras, rings and modules over them. The main actual and recent trends in this area are described. Works are reviewed on radicals in nonassociative rings, nonassociative algebras related with skew polynomials ...
Sergey Victor Ludkowski
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