Super-De Morgan functions and free De Morgan quasilattices
Yuri Movsisyan; Vahagn Aslanyan
Open Mathematics (2014)
- Volume: 12, Issue: 12, page 1749-1761
- ISSN: 2391-5455
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topYuri Movsisyan, and Vahagn Aslanyan. "Super-De Morgan functions and free De Morgan quasilattices." Open Mathematics 12.12 (2014): 1749-1761. <http://eudml.org/doc/268963>.
@article{YuriMovsisyan2014,
abstract = {A De Morgan quasilattice is an algebra satisfying hyperidentities of the variety of De Morgan algebras (lattices). In this paper we give a functional representation of the free n-generated De Morgan quasilattice with two binary and one unary operations. Namely, we define the concept of super-De Morgan function and prove that the free De Morgan quasilattice with two binary and one unary operations on nfree generators is isomorphic to the De Morgan quasilattice of super-De Morgan functions of nvariables.},
author = {Yuri Movsisyan, Vahagn Aslanyan},
journal = {Open Mathematics},
keywords = {Antichain; De Morgan algebra; Hyperidentity; Hypervariety; De Morgan quasilattice; De Morgan function; Subdirectly irreducible algebra; Free algebra; Super-De Morgan function; Hyper-De Morgan function; Disjunctive normal form (DNF) of super-De Morgan function; antichain; hyperidentity; hypervariety; subdirectly irreducible algebra; free algebra; super-De Morgan function; hyper-De Morgan function; disjunctive normal form (DNF) of super-De Morgan function},
language = {eng},
number = {12},
pages = {1749-1761},
title = {Super-De Morgan functions and free De Morgan quasilattices},
url = {http://eudml.org/doc/268963},
volume = {12},
year = {2014},
}
TY - JOUR
AU - Yuri Movsisyan
AU - Vahagn Aslanyan
TI - Super-De Morgan functions and free De Morgan quasilattices
JO - Open Mathematics
PY - 2014
VL - 12
IS - 12
SP - 1749
EP - 1761
AB - A De Morgan quasilattice is an algebra satisfying hyperidentities of the variety of De Morgan algebras (lattices). In this paper we give a functional representation of the free n-generated De Morgan quasilattice with two binary and one unary operations. Namely, we define the concept of super-De Morgan function and prove that the free De Morgan quasilattice with two binary and one unary operations on nfree generators is isomorphic to the De Morgan quasilattice of super-De Morgan functions of nvariables.
LA - eng
KW - Antichain; De Morgan algebra; Hyperidentity; Hypervariety; De Morgan quasilattice; De Morgan function; Subdirectly irreducible algebra; Free algebra; Super-De Morgan function; Hyper-De Morgan function; Disjunctive normal form (DNF) of super-De Morgan function; antichain; hyperidentity; hypervariety; subdirectly irreducible algebra; free algebra; super-De Morgan function; hyper-De Morgan function; disjunctive normal form (DNF) of super-De Morgan function
UR - http://eudml.org/doc/268963
ER -
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