SIFAT-SIFAT MODUL BERTINGKAT DAN MODUL KOMULTIPLIKASI BERTINGKAT; SOME PROPERTIES OF GRADED MODULES AND GRADED COMULTIPLICATION MODULES

PUTRI WIDI SUSANTI, Indah Emilia Wijayanti

2014 | Disertasi | PROGRAM STUDI S2 MATEMATIKA

Let G be an abelian group and R be a comutative ring with identity. A ring R is called a graded ring of type G if there is a family of additive subgroups of R , say fRggg2G, such that a ring R is direct sum of family of additive subgroups and RgRh ? Rgh for all g; h 2 G. A graded ring R can be used to define a graded moduleM on some conditions. One kind of graded module is graded comultiplication module. In this final project will be discussed about some properties of graded modules and characterization of graded comultiplication module.

Kata Kunci : GRADED MODULES, GRADED COMULTIPLICATION MODULES