Abstract semigroups and groups of formal series of dependent variables (Q676665)
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scientific article; zbMATH DE number 992757
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Abstract semigroups and groups of formal series of dependent variables |
scientific article; zbMATH DE number 992757 |
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Abstract semigroups and groups of formal series of dependent variables (English)
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20 March 1997
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The author's aim is to simplify the main statements of his work [Sib. Mat. Zh. 10, 246-286, 744-799 (1969; Zbl 0213.31801)]. He introduces the notion of an abstract \(\overline{SNA}\)-semigroup and proves the following statements. The multiplicative semigroup of an \(\overline{SNA}\)-algebra is an abstract \(\overline{SNA}\)-semigroup and its quotient group is an abstract \(\overline{SNA}\)-group. An abstract \(\overline{SNA}\)-semigroup is embeddable into a group. An abstract \(\overline{SNA}\)-group is a group with relative standard normal form.
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embeddings of semigroups into groups
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normal forms
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HNN-extensions
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multiplicative semigroups of algebras
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quotient groups of semigroups
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