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All Journal Limits: Journal of Mathematics and Its Applications
Mohammad Agus Kholilurrohman Kholilurrohman
Universitas Gadjah Mada
Computer Science & IT Mathematics

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Submodul Maksimal Bertingkat Terdekomposisi pada Modul Bertingkat Mohammad Agus Kholilurrohman Kholilurrohman; Sutopo Sutopo; Ari Suparwanto
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
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/limits.v23i2.5796

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.
Co-Authors Ari Suparwanto Sutopo Sutopo