ENDOMORFISMA MODUL MULTIPLIKASI DAN KOMULTIPLIKASI

• Main Authors: , LALU IRMAN SUHAEDADING, , Dr. rer. Indah Emulia Wijayanti, M.Si
• Format: Theses and Dissertations NonPeerReviewed
• Published: [Yogyakarta] : Universitas Gadjah Mada 2014
• Subjects: ETD
• Online Access: https://repository.ugm.ac.id/133265/; http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=73834
• Institution: Universitas Gadjah Mada

Modules can be viewed as generalization of vector spaces. One of modules that are studied, is a multiplication module. A module is called a multiplication module when every submodule can be expressed as a product of an ideal and the module itself. Multiplication modules can be carried into a dual concept, that is a comultiplication module, which is every submodule can be written as (0 :M I). If M is a left module over R and S := EndR(M), thenM has right module structures over S. Consequently, we got a new structures, multiplication and comultiplication modules that have right modules structures over S. Furthermore, in the last part we discussed about properties of multiplication and comultiplication modules with their endomorphisms.