Congruences and Closure Endomorphisms of Hilbert Algebras

DOI10.1080/00927872.2013.865039zbMath1320.03090OpenAlexW2133666685MaRDI QIDQ5249912

Hernando Gaitán

Publication date: 13 May 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2013.865039

zbMATH Keywords

congruenceendomorphism monoidHilbert algebraclosure endomorphism

Mathematics Subject Classification ID

Other algebras related to logic (03G25) Subalgebras, congruence relations (08A30) Semilattices (06A12) Automorphisms and endomorphisms of algebraic structures (08A35) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items

Lattice of closure endomorphisms of a Hilbert algebra

Cites Work

• Finite Tarski algebras are determined by their endomorphisms
• An algebraic approach to non-classical logics
• Endomorphism semigroups of Brouwerian semilattices
• Hilbert algebras as implicative partial semilattices
• Duality for finite Hilbert algebras