Results 221 to 230 of about 403 (256)

Lie Ideals in Associative Algebras [PDF]

open access: yesCanadian Mathematical Bulletin, 1984
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
openaire   +2 more sources

Lie ideals of graded associative algebras

Israel Journal of Mathematics, 2011
In 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, 2003
zbMATH 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, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Koreshkov N A, N A Koreshkov
exaly   +3 more sources

Ideals of Identities of Associative Algebras [PDF]

open access: yes, 1991
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, 2022
Let \(R\) 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}_{
openaire   +1 more source

On Associator Ideals in Jordan Algebras

Southeast Asian Bulletin of Mathematics, 2000
In 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, 1959
1. 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.
openaire   +2 more sources

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