Generalization of the concept of variety and quasivariety to partial algebras through category theory

H. Andréka; I. Németi

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1983

Abstract

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CONTENTSIntroduction ................................................................................................5§1. The purely category theoretical version of Birkhoff's theorem................7§2. Category theoretical study of generalized identities............................19§3. Generalized identities in partial algebras.............................................29§4. Calculus...............................................................................................41§5. Examples.............................................................................................47§6. Some model-theoretic consequences.................................................48References...............................................................................................50

How to cite

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H. Andréka, and I. Németi. Generalization of the concept of variety and quasivariety to partial algebras through category theory. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1983. <http://eudml.org/doc/268468>.

@book{H1983,
abstract = {CONTENTSIntroduction ................................................................................................5§1. The purely category theoretical version of Birkhoff's theorem................7§2. Category theoretical study of generalized identities............................19§3. Generalized identities in partial algebras.............................................29§4. Calculus...............................................................................................41§5. Examples.............................................................................................47§6. Some model-theoretic consequences.................................................48References...............................................................................................50},
author = {H. Andréka, I. Németi},
keywords = {identities in category; variety; quasivariety; Birkhoff theorem for partial algebras; equationally definable classes of algebras; models; axiomatizable classes; completeness theorems},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Generalization of the concept of variety and quasivariety to partial algebras through category theory},
url = {http://eudml.org/doc/268468},
year = {1983},
}

TY - BOOK
AU - H. Andréka
AU - I. Németi
TI - Generalization of the concept of variety and quasivariety to partial algebras through category theory
PY - 1983
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - CONTENTSIntroduction ................................................................................................5§1. The purely category theoretical version of Birkhoff's theorem................7§2. Category theoretical study of generalized identities............................19§3. Generalized identities in partial algebras.............................................29§4. Calculus...............................................................................................41§5. Examples.............................................................................................47§6. Some model-theoretic consequences.................................................48References...............................................................................................50
LA - eng
KW - identities in category; variety; quasivariety; Birkhoff theorem for partial algebras; equationally definable classes of algebras; models; axiomatizable classes; completeness theorems
UR - http://eudml.org/doc/268468
ER -

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