INTEGRAL IDEALS IN BL-ALGEBRAS

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Paad Akbar

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2016 | Issue:25

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Information Seminar Paper

Title

INTEGRAL IDEALS IN BL-ALGEBRAS

Author(s)

Paad Akbar

Keywords

BL-ALGEBRA

IDEAL

INTEGRAL IDEAL

BOOLEAN IDEAL

Abstract

IN THIS PAPER, WE INTRODUCE THE CONCEPT OF INTEGRAL IDEALS INBL-ALGEBRAS. WITH RESPECT TO THIS CONCEPT, WE GIVE SOME RELATED RESULTS. IN PARTICULAR, WE PROVE THAT AN INTEGRAL IDEAL IS BOOLEAN AND A PRIME IDEAL. ALSO, WE PROVE THAT ABL-ALGEBRA IS AN INTEGRAL BL-ALGEBRA IF AND ONLY IF THE TRIVIAL IDEAL {0} IS AN INTEGRAL IDEAL. MOREOVER, WE STUDY THE RELATION BETWEEN INTEGRAL IDEALS AND OBSTINATE FILTERS IN BL-ALGEBRAS BY USING THE SET OF THE COMPLEMENTED ELEMENTS.

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APA: Copy

Paad, Akbar. (2016). INTEGRAL IDEALS IN BL-ALGEBRAS. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938708/en

Vancouver: Copy

Paad Akbar. INTEGRAL IDEALS IN BL-ALGEBRAS. 2016. Available from: https://sid.ir/paper/938708/en

IEEE: Copy

Akbar Paad, “INTEGRAL IDEALS IN BL-ALGEBRAS,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938708/en

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