Endomorphisms of implication algebras

• Autorzy: Gaitán, H.
• Języki publikacji: EN

Abstrakty

EN

In this note we prove that if two implication algebras have isomorphic monoids of endomorphisms then they are isomorphic.

Słowa kluczowe

PL

algebra; algebra Tarskiego

EN

implication algebra; Tarski algebra; monoid of endomorphisms

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 2
• Strony: 284--288
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Gaitán, H.

• Departamento De Matemáticas, Facultad De Ciencias, Universidad Nacional De Colombia, Ciudad Universitaria, Bogotá, Colombia,

Bibliografia

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• [3] H. Gaitán, Finite Tarski algebras are determined by their endomorphisms, Semigroup Forum 84 (2012), 25–32.
• [4] C. J. Maxon, On semigroups of Boolean ring endomorphism, Semigroup Forum 4 (1972), 78–82.
• [5] K. D. Magill, The semigroup of endomorphisms of a Boolean ring, J. Aust. Math. Soc. 11 (1970), 411–416.
• [6] H. Rasiowa, An Algebraic Approach to Non-Classical Logics, North Holland, Studies in Logic and the Foundations of Mathematics, Vol 78, Amsterdam, 1974.
• [7] B. M. Schein, Ordered sets, semilattices, distributive lattices and Boolean algebras with homomorphic endomorphism semigroups, Fund. Math. 68 (1970), 31–50.