2015Jurnal Ilmiah Matematika dan Pendidikan MatematikaOpen access

RING MATRIKS ATAS RING KOMUTATIF

Achmad Abdurrazzaq, Ari Wardayani, Suroto Suroto

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Abstract

This paper discusses a matrices over a commutative ring. A matrices over commutative rings is a matrices whose entries are the elements of the commutative ring. We investigates the structure of the set of the matrices over the commutative ring. We obtain that the set of the matrices over the commutative ring equipped with an addition and a multiplication operation of matrices is a ring with a unit element.

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What this paper is about

This paper discusses a matrices over a commutative ring. A matrices over commutative rings is a matrices whose entries are the elements of the commutative ring. We investigates the structure of the set of the matrices over the commutative ring. We obtain that the set of the matrices over the commutative ring equipped with an addition and a multiplication operation of matrices is a ring with a unit element.

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Available abstract

This paper discusses a matrices over a commutative ring. A matrices over commutative rings is a matrices whose entries are the elements of the commutative ring. We investigates the structure of the set of the matrices over the commutative ring. We obtain that the set of the matrices over the commutative ring equipped with an addition and a multiplication operation of matrices is a ring with a unit element.

Key concepts: Commutative ring, Ring (chemistry), Noncommutative ring, Reduced ring, Matrix ring, Principal ideal ring, Primitive ring, Primary ideal

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