Limits: Journal of Mathematics and Its Applications
Vol. 23 No. 2 (2026): Limits: Journal of Mathematics and Its Applications Volume 23 Nomor 2 Edisi Ju

Submodul Maksimal Bertingkat Terdekomposisi pada Modul Bertingkat

Mohammad Agus Kholilurrohman Kholilurrohman (Universitas Gadjah Mada)
Sutopo Sutopo (Universitas Gadjah Mada)
Ari Suparwanto (Universitas Gadjah Mada)



Article Info

Publish Date
07 Aug 2026

Abstract

Given  be a group with identity , and graded ring  type . By the graded ring can be formed graded module. A module  is called to be a graded module over graded ring  type  if there is family of subgroups of , say , for all  such that  and . The concepts of maximal submodule can also be defined in graded module. The graded proper submodule  of  is said to be a graded maximal if there is no graded other submodule that contains  properly except  itself. Not only usual module can be decomposed, but also graded module can be decomposed. This research discusses about graded modules with decomposed graded maximal submodules. By the decomposition, we obtain some properties that relate with graded maximal submodule, graded simple module, graded module homomorphism, graded torsion module, and graded direct summand.

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Journal Info

Abbrev

limits

Publisher

Subject

Computer Science & IT Mathematics

Description

Limits: Journal of Mathematics and Its Applications merupakan jurnal yang diterbitkan oleh Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia. Limits menerima makalah hasil riset di semua bidang Matematika, terutama bidang Analisis, Aljabar, Pemodelan Matematika, ...