Faisol, Ahmad and Surodjo, Budi and Wahyuni, Sri (2018) THE IMPACT OF THE MONOID HOMOMORPHISM ON THE STRUCTURE OF SKEW GENERALIZED POWER SERIES RINGS. Far East Journal of Mathematical Sciences (FJMS), 103 (7). pp. 1215-1227. ISSN ISSN: 0972-0871
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Abstract
Let R be a ring, (S, ≤) be a strictly ordered monoid and ω : S → End(R) be a monoid homomorphism. In this paper, we study the properties of monoid homomorphism ω and its impact on the structure of skew generalized power series ring R[[S, ω]]. We show that: if( ) ( ),ω 1 ~ ω 2 then [[ , ( )]] ~ [[ , (2)]], 2 1 R1 S ω = R S ω and R1 ⊕ R2[[S,( ) ( )]] ~ [[ , ( )]] [[ , (2)]].
| Item Type: | Article |
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| Subjects: | Q Science > QA Mathematics |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Prodi Matematika |
| Depositing User: | AHMAD FAISOL |
| Date Deposited: | 25 Apr 2018 06:41 |
| Last Modified: | 25 Apr 2018 06:41 |
| URI: | http://repository.lppm.unila.ac.id/id/eprint/6622 |
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