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2009•Maǧallaẗ al-rāfidayn li-ʿulūm al-ḥāsibāt wa-al-riyāḍiyyāẗ/˜Al-œRafidain journal for computer sciences and mathematicsOpen access

On Idempotent Elements

Nazar Shuker, Alaa A. Hammodat

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Abstract

In this paper we study idempotent elements, we give some new properties of idempotent elements and provide some exam we also study central idempotent elements and orthogonal idempotent elements and give some new properties of such idempotent. Finally we study special ring which satisfies the property for all x in R and n is a positive integer, we represent such ring in termes of idempotent and nilpotent elements.

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What this paper is about

In this paper we study idempotent elements, we give some new properties of idempotent elements and provide some exam we also study central idempotent elements and orthogonal idempotent elements and give some new properties of such idempotent. Finally we study special ring which satisfies the property for all x in R and n is a positive integer, we represent such ring in termes of idempotent and nilpotent elements.

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Available abstract

In this paper we study idempotent elements, we give some new properties of idempotent elements and provide some exam we also study central idempotent elements and orthogonal idempotent elements and give some new properties of such idempotent. Finally we study special ring which satisfies the property for all x in R and n is a positive integer, we represent such ring in termes of idempotent and nilpotent elements.

Key concepts: Idempotence, Idempotent matrix, Nilpotent, Mathematics, Integer (computer science), Ring (chemistry), Pure mathematics, Combinatorics

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