BE-algebras with order reversing involution

Sun Shin Ahn; Young Hee Kim; Jung Hee Park

BE-algebras with order reversing involution

Sun Shin Ahn, Young Hee Kim, Jung Hee Park

Department of Mathematics Education

Chungbuk National University

Research output: Contribution to journal › Article › peer-review

Abstract

The notions of a filter’s radical and extended filter are introduced in BE-algebras. Then some properties of filter’s radical and extended filter are obtained. Using a special set x⁻¹ * F, we give an equivalent condition for a filter to be prime.

Original language	English
Pages (from-to)	918-926
Number of pages	9
Journal	Journal of Computational Analysis and Applications
Volume	18
Issue number	5
State	Published - 2015

Keywords

(Prime, Primary) filter
BE-algebra
Filter’s radical

Cite this

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title = "BE-algebras with order reversing involution",

abstract = "The notions of a filter{\textquoteright}s radical and extended filter are introduced in BE-algebras. Then some properties of filter{\textquoteright}s radical and extended filter are obtained. Using a special set x−1 * F, we give an equivalent condition for a filter to be prime.",

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AU - Ahn, Sun Shin

AU - Kim, Young Hee

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AB - The notions of a filter’s radical and extended filter are introduced in BE-algebras. Then some properties of filter’s radical and extended filter are obtained. Using a special set x−1 * F, we give an equivalent condition for a filter to be prime.

KW - (Prime, Primary) filter

KW - BE-algebra

KW - Filter’s radical

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M3 - Article

AN - SCOPUS:85049933409

SN - 1521-1398

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JO - Journal of Computational Analysis and Applications

JF - Journal of Computational Analysis and Applications

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ER -

BE-algebras with order reversing involution

Abstract

Keywords

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Cite this