Results 221 to 230 of about 403 (256)
Gesturing While Writing: An Alternate Perspective on Mimetic Prosody
Critical Quarterly, EarlyView.
Paul Magee
wiley +1 more source
Lie Ideals in Associative Algebras [PDF]
AbstractIt is shown that in a certain extensive class of algebras one can associate with each Lie ideal a corresponding associative ideal which facilitates the study of Lie ideals, especially for simple algebras. We apply this construction to obtain new, simpler proofs of some known results of Herstein [10] and others on the Lie structure of ...
G. J. Murphy
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Lie ideals of graded associative algebras
Israel Journal of Mathematics, 2011In the paper under review the authors translate some results of quotients of Lie structures to the graded case. Let \(G\) be a group. A (general) algebra \(S\) over a ring of scalars \(\phi\) is \(G\)-graded if \(S=\bigoplus_{\sigma\in G} S_\sigma\), where \(S_\sigma\) is a submodule of \((S, +)\) and \(S_\sigma S_\tau \subset S_{\sigma\tau}\) for ...
Mercedes Siles Molina
exaly +2 more sources
Fuzzifications of foldness of quasi-associative ideals inBCI-algebras
Journal of Applied Mathematics and Computing, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young Bae Jun, Jun Young Bae
exaly +3 more sources
Modules and ideals of algebras of associative type
Russian Mathematics, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Koreshkov N A, N A Koreshkov
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Ideals of Identities of Associative Algebras [PDF]
This book concerns the study of the structure of identities of PI-algebras over a field of characteristic zero. In the first chapter, the author brings out the connection between varieties of algebras and finitely-generated superalgebras.
Silver, Ben +2 more
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Associated Prime Ideals of the Amalgamated Algebra
Bulletin of the Iranian Mathematical Society, 2022Let \(R\) and \(S\) be commutative rings with unity, \(J\) an ideal of \(S\), and \(f:R\longrightarrow S\) a ring homomorphism. In this paper, the author determines the set of associated prime ideals of amalgamated algebra \(R\bowtie^{f} J\), when \(f\) is surjective. Let \(\mathcal{A}_{1}:= \{p\bowtie^{f}J \mid p\in \mathrm{Ass}(R)\}\); \(\mathcal{A}_{
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On Associator Ideals in Jordan Algebras
Southeast Asian Bulletin of Mathematics, 2000In this paper the authors introduce in a Jordan context the concept of associator semisimple. Let \(J\) be a Jordan algebra over a field of characteristic \(0.\) A subspace \(U\) of \(J\) is said to be an associator ideal of \(J\) if \((U,J,J)\subset U,\) for \((\;, \;, \;)\) the associator of \(J.\) If \(U\) is an associator ideal in \(J\) we can ...
Rema, P. S. +2 more
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Extensions of ideals in associative algebras
Mathematical Proceedings of the Cambridge Philosophical Society, 19591. Let A be an associative algebra over a commutative field K; A is then a vector space over K, and multiplication is defined in A in such a way thatfor x, y, z in A and λ in K. We suppose in addition that A does not contain a unit, and we denote by Ae the algebra obtained by adjoining a unit e to A.
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