Results 11 to 20 of about 117,907,174 (136)
Lie Ideals in Associative Algebras
Canadian 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
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Ideals of Identities of Associative Algebras
, 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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On Real Algebras Associated with Ideal Convergence
Real Analysis Exchange, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Balaz, Vladimir +2 more
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Linear maps on real C* - algebras and related structures [PDF]
, 2010 PhDIn this thesis we obtain new results on the structures of real C*-algebras and nonsurjective isometries between them. Some of the results have been published in [1].
Apazoglou, Maria
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Alternator and associator ideal algebras [PDF]
Transactions of the American Mathematical Society, 1977 If I is the ideal generated by all associators, ( a , b ,
Hentzel, Irvin Roy +2 more
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On the Comaximal (Ideal) Graph Associated With Amalgamated Algebra
Discrete Mathematics Letters, 2022 Summary: Let \(f:A \rightarrow B\) be a ring homomorphism of the commutative rings \(A\) and \(B\) with identities. Let \(J\) be an ideal of \(B\). The amalgamation of \(A\) with \(B\) along \(J\) with respect to \(f\) is a subring of \(A \times B\) given by \(A \bowtie^f J:=\{(a, f(a) +j)|a \in A\), \(j \in J\}\).
Zinat Rastgar +2 more
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Commutator Ideals and Semicommutator Ideals of Toeplitz Algebras Associated with Flows [PDF]
Proceedings of the American Mathematical Society, 1992 We prove that for a Toeplitz C ∗
Muhly, Paul S., Xia, Jingbo
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Ideals of the associative algebra operad
, 2023 We prove a one-to-one correspondence between the operadic ideals of the operad $\As$ and $T$-ideals. As a consequence, we show that $\As$ is noetherian and that every proper operadic ideal of $\ias$ is generated by a single element.
Bao, Y. -H. +4 more
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Generators of maximal left ideals in Banach algebras [PDF]
, 2012 In 1971, Grauert and Remmert proved that a commutative, complex, Noetherian Banach algebra is necessarily finite-dimensional. More precisely, they proved that a commutative, complex Banach algebra has finite dimension over C whenever all the closed ...
Dales, H.G., Zelazko, W.
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SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]
, 2002 An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic ...
Vasantha, Kandasamy
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