La-Modul

Ramadhani, Afifah (2017) La-Modul. Sarjana thesis, Universitas Brawijaya.

Abstract

Left almost modules (LA-modul) merupakan pengembangan konsep dari modul yang berupa penggabungan konsep LA-grup dan LA-ring. LA-modul memenuhi aksioma LA-grup untuk operasi penjumlahan, LA-semigrup untuk operasi pergandaan serta distributif. Irisan dua LA-submodul dari suatu LA-modul merupakan LA-submodul. Teorema isomorfisma LA-modul merupakan kasus khusus dari teorema modul dengan pembuktian yang serupa.

English Abstract

Left almost module (LA-module) is an extended concept of the module as well as the incorporation of the concept of LA-group and LA-ring. Left almost module is an LA-group under addition operation, LA-semigrup under multiplication operation and satisfy distributive. The intersection of two LA-submodule of a LA-module is a LA-submodule. Isomorphism theorem of LA-module is a special case of isomorphism theorem of module with a similar proof.

Item Type: Thesis (Sarjana)
Identification Number: SKR/FMIPA/2017/479/051709835
Uncontrolled Keywords: LA-semigrup, LA-grup, LA-ring, LA-modul, isomorfisma.
Subjects: 500 Natural sciences and mathematics > 512 Algebra > 512.02 Abstract algebra
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika
Depositing User: Nur Cholis
Date Deposited: 02 Nov 2017 01:26
Last Modified: 17 Nov 2021 02:56
URI: http://repository.ub.ac.id/id/eprint/4713
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