GELANGGANG ARTIN
Abstract
A nonempty set R is said to be a ring if we can dene two binary operations
in R, denoted by + and respectively, such that for all a; b; c 2 R, R is an Abelian group
under addition, closed under multiplication, and satisfy the associative law under multi-
plication and distributive law. Let R be a ring. R is an Artin ring if every nonempty set
of ideals has the minimal element. In this paper, the Artin ring and some characteristics
of it will be discussed.
in R, denoted by + and respectively, such that for all a; b; c 2 R, R is an Abelian group
under addition, closed under multiplication, and satisfy the associative law under multi-
plication and distributive law. Let R be a ring. R is an Artin ring if every nonempty set
of ideals has the minimal element. In this paper, the Artin ring and some characteristics
of it will be discussed.
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PDFDOI: https://doi.org/10.25077/jmu.2.2.108-114.2013
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