Endomorphisms and subalgebras of Tarski algebras

Hernando Gaitán

Endomorphisms and subalgebras of Tarski algebras

Publication date: 21.10.2015

Reports on Mathematical Logic, 2015, Number 50, pp. 31 - 39

https://doi.org/10.4467/20842589RM.15.002.3911

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Titles

Endomorphisms and subalgebras of Tarski algebras

Abstract

In this note we prove that a Tarski algebra is determined by the monoid of its endomorphisms as well as by the lattice of its subalgebras.

Keywords

Implication algebra, Tarski algebra, monoid of endomorphisms

References

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[10] D. Sachs, The lattice of subalgebras of a Boolean algebra, Canad. J. Math. 14 (1962), 451–460. [11] B. M. Schein, Ordered sets, semilattices, distributive lattices and Boolean algebras with homomorphic endomorphism semigroups, Fund. Math. 68 (1970), 31–50.

Information

Information: Reports on Mathematical Logic, 2015, Number 50, pp. 31 - 39

DOI: https://doi.org/10.4467/20842589RM.15.002.3911

Article type: Original article

Titles:

Polish:

Endomorphisms and subalgebras of Tarski algebras

English:

Endomorphisms and subalgebras of Tarski algebras

Authors

Hernando Gaitán

Universidad Nacional de Colombia Ciudad Universitaria, Bogota, Colombia

Published at: 21.10.2015

Article status: Open

Licence: None

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Hernando Gaitán (Author) - 100%

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English

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