Results 31 to 40 of about 138,244,374 (198)
Bulletin of the Section of Logic, 2021 Fix a finite ordinal \(n\geq 3\) and let \(\alpha\) be an arbitrary ordinal. Let \(\mathsf{CA}_n\) denote the class of cylindric algebras of dimension \(n\) and \(\sf RA\) denote the class of relation algebras.
Tarek Sayed Ahmed
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Levels and sublevels of composition algebras [PDF]
, 2007 Lewis' and Leep's bounds on the level and sublevel of quaternion algebras are extended to the class of composition algebras. Some simple constructions of composition algebras of known level values are given.
O'Shea, James
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Elementary Lie Algebras and Lie A-Algebras. [PDF]
, 2007 A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
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Solvable complemented Lie algebras. [PDF]
, 2012 In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
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On nilpotent filiform Lie algebras of dimension eight
International Journal of Mathematics and Mathematical Sciences, 2003 The aim of this paper is to determine both the Zariski constructible set of characteristically nilpotent filiform Lie algebras g of dimension 8 and that of the set of nilpotent filiform Lie algebras whose group of automorphisms consists of unipotent ...
P. Barbari, A. Kobotis
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The Subpower Membership Problem for Finite Algebras with Cube Terms [PDF]
Logical Methods in Computer Science, 2019 The subalgebra membership problem is the problem of deciding if a given element belongs to an algebra given by a set of generators. This is one of the best established computational problems in algebra.
Andrei Bulatov +2 more
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Some results on pseudo MV-algebras with n-roots
Ratio MathematicaThe paper provides a study of pseudo MV-algebras with $n$-roots. We outline their main properties and establish that the class of MV-algebras with $n$-roots forms a variety.
Chen Xinrong, Hongxing Liu
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Dually quasi-De Morgan Stone semi-Heyting algebras II. Regularity [PDF]
Categories and General Algebraic Structures with Applications, 2014 This paper is the second of a two part series. In this Part, we prove, using the description of simples obtained in Part I, that the variety $mathbf{RDQDStSH_1}$ of regular dually quasi-De Morgan Stone semi-Heyting algebras of level 1 is the join of the ...
Hanamantagouda P. Sankappanavar
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Automated Generation of EQ-Algebras through Genetic Algorithms
Mathematics, 2021 This article introduces an approach to the automated generation of special algebras through genetic algorithms. These algorithms can be also used for a broader variety of applications in mathematics.
Hashim Habiballa +2 more
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On Endomorphisms of Algebraic Varieties
International Mathematics Research Notices, 2021 Abstract Consider an endomorphism of an algebraic variety over an algebraically closed field of characteristic zero that is injective on the complement of a proper closed subvariety. We prove that such an endomorphism is an automorphism, provided the morphism is quasi-finite.
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