Factorizable semigroups (Q5903383)
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scientific article; zbMATH DE number 4004486
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Factorizable semigroups |
scientific article; zbMATH DE number 4004486 |
Statements
Factorizable semigroups (English)
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1987
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A multiplicative semigroup S is said to be factorizable if \(S=AB\), where A and B are proper subsemigroups of S. The pair (A,B) is called a factorization of S, with factors A and B. We investigate the semigroups that admit a factorization (A,B) such that the condition (\(\forall a,a'\in A\), b,b'\(\in B)\) \(ab=a'b'\Rightarrow a=a'\) and \(b=b'\) holds.
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factorization
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