The existence of identity of periodic semigroup rings (Q1370163)
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scientific article; zbMATH DE number 1077935
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence of identity of periodic semigroup rings |
scientific article; zbMATH DE number 1077935 |
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The existence of identity of periodic semigroup rings (English)
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12 November 1997
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This notes announces the following Theorem: Let \(S\) be a periodic semigroup. Then \(RS\) possesses an identity if and only if \(R\langle E(S)\rangle\) possesses an identity, and there exists a finite subset \(U\) of \(E(S)\) such that \(S=SU=US\). Moreover, in this case, \(I_{RS}=I_{R\langle E(S)\rangle}\).
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periodic semigroups
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identity
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semigroup rings
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