Open AccessOn GE-algebras
Author(s) -
Ravi Kumar 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.