A counter-example on *-embeddability into proper *-rings (Q1086362)
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scientific article; zbMATH DE number 3983499
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A counter-example on *-embeddability into proper *-rings |
scientific article; zbMATH DE number 3983499 |
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A counter-example on *-embeddability into proper *-rings (English)
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1986
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The author presents a six-element commutative semigroup S with a proper involution * such that (S,*) cannot be *-embedded into any ring with proper involution. (A semigroup involution * is called proper if \(aa^*=ab^*=bb^*\) implies \(a=b\) for all a,b; a ring involution is called proper if \(aa^*=0\) implies 0 for all a.)
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semigroup with involution
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ring with involution
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*-embedding
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commutative semigroup
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