On GE-algebras | Zendy

Ravikumar Bandaru | Zendy; Arsham Borumand Saeid | Zendy; Young Bae Jun | Zendy

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On GE-algebras

Author(s) -

Ravikumar Bandaru,

Arsham Borumand Saeid,

Young Bae Jun

Publication year - 2020

Publication title -

bulletin of the section of logic

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.225

H-Index - 13

eISSN - 2449-836X

pISSN - 0138-0680

DOI - 10.18778/0138-0680.2020.20

Subject(s) - mathematics , congruence (geometry) , algebra over a field , pure mathematics , generalization , subalgebra , interior algebra , transitive relation , division algebra , cellular algebra , algebra representation , jordan algebra , algebraic structure , combinatorics , mathematical analysis , geometry

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.

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