Geodesic
On GE-algebras
Bulletin of the Section of Logic, Tome 50 (2021) no. 1, pp. 81-96.

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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.
Keywords: (transitive) GE-algebra, filter, upper set, congruence kernel 
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Bandaru, Ravikumar; Saeid, Arsham Borumand; Jun, Young Bae. On GE-algebras. Bulletin of the Section of Logic, Tome 50 (2021) no. 1, pp. 81-96. http://geodesic.mathdoc.fr/item/BSL_2021_50_1_a3/

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