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Semigroup Algebras
| Content Provider | Scilit |
|---|---|
| Author | Okniński, Jan |
| Copyright Year | 2020 |
| Description | We will deal with semigroup algebras with coefficients being fields only. Thus, throughout, K will stand for a field. By the semigroup algebra K[S] of a semigroup S over K, we mean the set of all functions f: S → K such that f(s) = 0 for all but finitely many s ∈ S, with operations defined for every f, g ∈ K[S], s ∈ S, λ ∈ K as follows: ( f + g ) ( s ) = f ( s ) + g ( s ) ( λ f ) ( s ) = λ f ( s ) ( f g ) ( s ) = { Σ ( t , u ) ∈ A ( s ) f ( t ) g ( u ) if A ( s ) ≠ ∅ 0 if A ( s ) = ∅ Book Name: Semigroup Algebras |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2006-0-01737-3&isbn=9781003066521&doi=10.1201/9781003066521-5&format=pdf |
| Ending Page | 46 |
| Page Count | 14 |
| Starting Page | 33 |
| DOI | 10.1201/9781003066521-5 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2020-08-26 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Semigroup Algebras Coefficients Operations Defined |
| Content Type | Text |
| Resource Type | Chapter |
