Faisol, Ahmad (2014) ENDOMORFISMA RIGID DAN COMPATIBLE PADA RING DERET PANGKAT TERGENERALISASI MIRING. Jurnal Matematika, 17 (2). pp. 45-49. ISSN 1410-8518
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Abstract
Given a ring R, a strictly ordered monoid (S,⋅,≤) and monoid homomorphism ω :S → End(R). Constructed the set of all function from S to R whose support is Artinian and narrow, with pointwise addition and the skew convolution multiplication, it becomes a ring called the skew generalized power series rings (SGPSR) and denoted by R[[S,ω,≤]]. A ring R is called reduced if it contains no nonzero nilpotent elements, reversible if for all r,s∈R, rs = 0 implies sr=0. Let µ : R → R be a ring endomorphism, if for r∈R, rµ(r)=0 implies r = 0, then µ is called rigid. In this paper, we will discuss about the constructing of SGPSR homomorphism. Beside that, we also discuss about rigid and compatible endomorphism on SGPSR R[[S,ω, ≤]].
| 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: | 15 Dec 2016 01:06 |
| Last Modified: | 15 Dec 2016 01:06 |
| URI: | http://repository.lppm.unila.ac.id/id/eprint/1315 |
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