On GE-algebras-Reference-Cited by-同舟云学术

On GE-algebras

Published:2020-08-30 Issue:1 Volume:50 Page:81-96
ISSN:2449-836X
Container-title:Bulletin of the Section of Logic
language:
Short-container-title:B Sect Log

Author:

Bandaru Ravikumar^ORCID,Saeid Arsham Borumand^ORCID,Jun Young Bae^ORCID

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

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

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

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

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