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Positive implicative True-False ideals in BCK-algebras

Publish Year: 1401
Type: Journal paper
Language: English
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Document National Code:

JR_KJMMRC-11-3_005

Index date: 16 November 2022

Positive implicative True-False ideals in BCK-algebras abstract

In BCK-algebra, the concept of  a positive implicative T\&F-ideal is introduced, and further several properties are  investigated. The relationship between  T\&F-ideals and  positive implicative T\&F-ideals is established, and an example is given to reveal that  a T\&F-ideal is not a positive implicative T\&F-ideal. Various conditions under which  a T\&F-ideal can be a positive implicative T\&F-ideal are explored and various characterizations of a positive  implicative T\&F-ideal are studied. The extended property of a positive implicative T\&F-ideal is constructed.

Positive implicative True-False ideals in BCK-algebras Keywords:

True-False structure , (limited) T&F-ideal , (limited) positive implicative T&F-ideal

Positive implicative True-False ideals in BCK-algebras authors

Rajabali Borzooei

Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran

M. Mohseni Takallo

Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran

Young Bae Jun

Department of Mathematics Education, Gyeongsang National University, Chinju ۶۶۰-۷۰۱, Republic of Korea

M. Aaly Kologani

Hatef Higher Education Institute, Zahedan, Iran

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