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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language = "English",

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journal = "Journal of Computational Analysis and Applications",

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T1 - BE-algebras with order reversing involution

AU - Ahn, Sun Shin

AU - Kim, Young Hee

AU - Park, Jung Hee

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N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85049933409

M3 - Article

AN - SCOPUS:85049933409

SN - 1521-1398

VL - 18

SP - 918

EP - 926

JO - Journal of Computational Analysis and Applications

JF - Journal of Computational Analysis and Applications

IS - 5

ER -

BE-algebras with order reversing involution

Abstract

Keywords

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Cite this