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Jumlah Langsung Subsemimodul Prima Andi Muhammad Anwar; Hanni Garminia; Irawati Irawati
Jurnal Matematika, Statistika dan Komputasi Vol. 18 No. 2 (2022): JANUARY 2022
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v18i2.16669

Abstract

Let be a commutative semiring. A semimodule over a semiring is a fully prime semimodule if each proper subsemimodule of is prime. This research aims to investigate the relationship between a direct sum of prime subsemimodules and , , and a fully prime semimodule.
CHARACTERIZATION OF WEAKLY PRIME SUBMODULE Puspa Nur Afifah; Irawati Irawati
Journal of Fundamental Mathematics and Applications (JFMA) Vol 4, No 2 (2021)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (913.039 KB) | DOI: 10.14710/jfma.v4i2.12189

Abstract

Let R is a commutative ring with identity and M is a unital R-module. El-bast and Smith (1988) have researched and introduced the multiplication module. Prime submodule has been studied by Ameri (2002). Then Atani and Farzalipour (2007) have extended the prime submodule to weakly prime submodule. Some properties were proved on each paper. This paper will study about characterization of weakly prime submodules.
Modul Herediter atas aljabar Lintasan Leavitt dari Graf A∞ Delsi Kariman; Irawati Irawati; Intan Muchtadi-Alamsyah
Jurnal Matematika Integratif Vol 15, No 1: April, 2019
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (332.904 KB) | DOI: 10.24198/jmi.v15.n1.21027.63-68

Abstract

Misalkan E suatu graf berarah dan K lapangan.  Aljabar lintasan Leavitt LK(E) adalah K-aljabar lintasan diperluas yang berasosiasi dengan graf E modulo relasi tertentu.  Dalam tulisan ini, diselidiki sifat keherediteran modul atas aljabar lintasan Leavitt dari graf garis tak hingga A∞.