On graded polynomial identities with an antiautomorphism

K. I. Beidar; T. S. Chen; Y. Fong; W. F. Ke

doi:10.1016/S0021-8693(02)00140-0

On graded polynomial identities with an antiautomorphism

K. I. Beidar, T. S. Chen, Y. Fong, W. F. Ke

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

Let G be a commutative monoid with cancellation and let R be a strongly G-graded associative algebra with finite, G-grading and with antiautomorphism. Suppose that R satisfies a graded polynomial identity with antiautomorphism. We show that R is a PI algebra.

Original language	English
Pages (from-to)	542-555
Number of pages	14
Journal	Journal of Algebra
Volume	256
Issue number	2
DOIs	https://doi.org/10.1016/S0021-8693(02)00140-0
Publication status	Published - 2002 Oct 15

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/S0021-8693(02)00140-0

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title = "On graded polynomial identities with an antiautomorphism",

abstract = "Let G be a commutative monoid with cancellation and let R be a strongly G-graded associative algebra with finite, G-grading and with antiautomorphism. Suppose that R satisfies a graded polynomial identity with antiautomorphism. We show that R is a PI algebra.",

author = "Beidar, {K. I.} and Chen, {T. S.} and Y. Fong and Ke, {W. F.}",

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AU - Beidar, K. I.

AU - Chen, T. S.

AU - Fong, Y.

AU - Ke, W. F.

PY - 2002/10/15

Y1 - 2002/10/15

N2 - Let G be a commutative monoid with cancellation and let R be a strongly G-graded associative algebra with finite, G-grading and with antiautomorphism. Suppose that R satisfies a graded polynomial identity with antiautomorphism. We show that R is a PI algebra.

AB - Let G be a commutative monoid with cancellation and let R be a strongly G-graded associative algebra with finite, G-grading and with antiautomorphism. Suppose that R satisfies a graded polynomial identity with antiautomorphism. We show that R is a PI algebra.

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VL - 256

SP - 542

EP - 555

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

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On graded polynomial identities with an antiautomorphism

Abstract

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