Open AccessMATRIKS ATAS RING DERET PANGKAT TERGENERALISASI MIRING
Author(s) -
Siti Rugayah,
Ahmad Faisol,
Fitriani Fitriani
Publication year - 2021
Publication title -
barekeng
Language(s) - English
Resource type - Journals
eISSN - 2615-3017
pISSN - 1978-7227
DOI - 10.30598/barekengvol15iss1pp157-166
Subject(s) - ring (chemistry) , matrix ring , mathematics , ideal (ethics) , multiplication (music) , monoid , reduced ring , simple ring , unit (ring theory) , pure mathematics , matrix (chemical analysis) , principal ideal ring , set (abstract data type) , discrete mathematics , power series , commutative ring , combinatorics , algebra over a field , computer science , mathematical analysis , philosophy , chemistry , materials science , mathematics education , organic chemistry , epistemology , composite material , commutative property , invertible matrix , programming language
Let R be a ring with unit elements, strictly ordered monoids, and a monoid homomorphism. Formed , which is a set of all functions from S to R with are Artin and narrow. With the operation of the sum of functions and convolution multiplication, is a ring, from now on referred to as the Skew Generalized Power Series Ring (SGPSR). In this paper, the set of all matrices over SGPSR will be constructed. Furthermore, it will be shown that this set is a ring with the addition and multiplication matrix operations. Moreover, we will construct the ideal of ring matrix over SGPSR and investigate this ideal's properties.