ENDOMORFISMA MODUL MULTIPLIKASI DAN KOMULTIPLIKASI
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 co...
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| Main Authors: | , |
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| Format: | Theses and Dissertations NonPeerReviewed |
| Published: |
[Yogyakarta] : Universitas Gadjah Mada
2014
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| Subjects: | |
| 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 |
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| Institution: | Universitas Gadjah Mada |
| Summary: | 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. |
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