On GE-algebras

Author:

Bandaru RavikumarORCID,Saeid Arsham BorumandORCID,Jun Young BaeORCID

Abstract

Hilbert algebras are important tools for certain investigations in intuitionistic logic and other non-classical logic and as a generalization of Hilbert algebra a new algebraic structure, called a GE-algebra (generalized exchange algebra), is introduced and studied its properties. We consider filters, upper sets and congruence kernels in a GE-algebra. We also characterize congruence kernels of transitive GE-algebras.

Publisher

Uniwersytet Lodzki (University of Lodz)

Subject

Logic,Philosophy

Reference16 articles.

1.

[1] J. C. Abbott, Semi-boolean algebra, Matematički Vesnik, vol. 4(19) (1967), pp. 177–198.

2.

[2] R. A. Borzooei, S. Khosravi Shoar, Implication algebras are equivalent to the dual implicative (BCK)-algebras, Scientiae Mathematicae Japonicae, vol. 63(3) (2006), pp. 429–431.

3.

[3] R. A. Borzooei, J. Shohani, On generalized Hilbert algebras, Italian Journal of Pure and Applied Mathematics, vol. 29 (2012), pp. 71–86.

4.

[4] D. Buşneag, A note on deductive systems of a Hilbert algebra, Kobe Journal of Mathematics, vol. 2(1) (1985), pp. 29–35.

5.

[5] D. Buşneag, Categories of algebraic logic, Editura Academiei Romane (2006).

Cited by 16 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On pre-Hilbert and positive implicative pre-Hilbert algebras;Bulletin of the Section of Logic;2024-05-20

2. On Quasi Generalized Exchange Algebras;European Journal of Pure and Applied Mathematics;2024-02-04

3. Pseudo GE-Algebras as the Extension of GE-Algebras;Kragujevac Journal of Mathematics;2024

4. On Implicative and Positive Implicative GE Algebras;Bulletin of the Section of Logic;2023-09-25

5. The Prominentness of Fuzzy GE-Filters in GE-Algebras;International Journal of Analysis and Applications;2023-03-17

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3