2011•European Journal of Pure and Applied MathematicsOpen access

Generalized Closed Sets with Respect to an Ideal

Saeid Jafari, N. Rajesh

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Abstract

An ideal on a set X is a non empty collection of subsets of X with heredity property which is also closed under finite unions. The concept of generalized closed sets was introduced by Levine. In this paper, we introduce and investigate the concept of generalized closed sets with respect to an ideal.

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What this paper is about

An ideal on a set X is a non empty collection of subsets of X with heredity property which is also closed under finite unions. The concept of generalized closed sets was introduced by Levine. In this paper, we introduce and investigate the concept of generalized closed sets with respect to an ideal.

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Available abstract

An ideal on a set X is a non empty collection of subsets of X with heredity property which is also closed under finite unions. The concept of generalized closed sets was introduced by Levine. In this paper, we introduce and investigate the concept of generalized closed sets with respect to an ideal.

Key concepts: Mathematics, Ideal (ethics), Closed set, Property (philosophy), Set (abstract data type), Pure mathematics, Heredity, Discrete mathematics

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