Equality algebras

S Jenei - Studia Logica, 2012 - Springer
… of equality algebras, and we call the closed algebras equivalential. We show that equivalential
equality algebras are term equivalent with BCK-algebras with … of BCK-algebras with meet. …

Results on equality algebras

F Zebardast, RA Borzooei, MA Kologani - Information Sciences, 2017 - Elsevier
… considering the notion of equality algebra, which is … equality algebras and some of other
logical algebras such as residuated lattice, MTL-algebra, BL-algebra, MV-algebra, Hertz-algebra

Pseudo equality algebras

S Jenei, L Kóródi - Archive for Mathematical Logic, 2013 - Springer
A new structure, called pseudo equality algebras, will be introduced. It has a constant and
three connectives: a meet operation and two equivalences. A closure operator will be …

Equality algebras

S Jenei - 2010 11th International Symposium on Computational …, 2010 - ieeexplore.ieee.org
… of algebras called equality algebras. We establish their connection to BCK-algebras which
are … lattices: Equivalential equality algebras which form a subclass of equality algebras will be …

Internal states on equality algebras

LC Ciungu - Soft computing, 2015 - Springer
equality algebras introduced by Jenei as a possible algebraic semantic for fuzzy type theory.
We define and study the pointed equality algebras … of linearly ordered equality algebras. …

Equality algebras

D Fearnley-Sander, T Stokes - Bulletin of the Australian …, 1997 - cambridge.org
… involving equality, we introduce the notion of an equality algebra. It is a universal algebra
A … -semilattice with top element 1, called internalised equality, and satisfying, for all x, y GA, …

[PDF][PDF] On state equality algebras

M Zarean, RA Borzooei, O Zahiri - Quasigroups and Related …, 2017 - quasigroups.eu
… sate (statemorphism) equality algebra (A, σ), … an equality algebra is a state-morphism if it
is equality-homomorphism. Finally, we study some classes of state-morphism equality algebras

Pseudo equality algebras: revision

A Dvurečenskij, O Zahiri - Soft Computing, 2016 - Springer
… a new type of algebras, called JK-algebras, generalizing equality algebras and we … of
algebras generalizing equality algebras that will not imply that they are in fact equality algebras. …

Ideals in bounded equality algebras

A Paad - Filomat, 2019 - doiserbia.nb.rs
… involutive prelinear equality algebra E is a Boolean ideal if and only if E I is a Boolean algebra.
… Finally, we prove that ideal I of involutive prelinear equality algebra E is a Boolean ideal if …

Some types of filters in equality algebras

R Borzooei, F Zebardast… - Categories and General …, 2017 - cgasa.sbu.ac.ir
… , and prime filters in equality algebras and we prove some … equality algebra induced by
an implicative filter is a Boolean algebra, by a fantastic filter is a commutative equality algebra, …