1Department of Mathematics, Faculty of Science, Tanta University, Tanta 2Department of Mathematics, Faculty of Science, Tanta University, Tanta,
Acta mathematica Universitatis Comenianae, Tome 85 (2016) no. 2, pp. 173-180
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Sanaa El Assar; M. Atallah; E. Atef; Sanaa El Assar; M. Atallah; E. Atef. Quasi-modular Pseudo-Complemented Semi-lattices. Acta mathematica Universitatis Comenianae, Tome 85 (2016) no. 2, pp. 173-180. http://geodesic.mathdoc.fr/item/AMUC_2016_85_2_a0/
@article{AMUC_2016_85_2_a0,
author = {Sanaa El Assar and M. Atallah and E. Atef and Sanaa El Assar and M. Atallah and E. Atef},
title = { Quasi-modular {Pseudo-Complemented} {Semi-lattices}},
journal = {Acta mathematica Universitatis Comenianae},
pages = {173--180},
year = {2016},
volume = {85},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2016_85_2_a0/}
}
TY - JOUR
AU - Sanaa El Assar
AU - M. Atallah
AU - E. Atef
AU - Sanaa El Assar
AU - M. Atallah
AU - E. Atef
TI - Quasi-modular Pseudo-Complemented Semi-lattices
JO - Acta mathematica Universitatis Comenianae
PY - 2016
SP - 173
EP - 180
VL - 85
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2016_85_2_a0/
ID - AMUC_2016_85_2_a0
ER -
%0 Journal Article
%A Sanaa El Assar
%A M. Atallah
%A E. Atef
%A Sanaa El Assar
%A M. Atallah
%A E. Atef
%T Quasi-modular Pseudo-Complemented Semi-lattices
%J Acta mathematica Universitatis Comenianae
%D 2016
%P 173-180
%V 85
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2016_85_2_a0/
%F AMUC_2016_85_2_a0
In this paper we dene and introduce a new class of pseudocomplemented semilattices ; the class of quasi-modular pseudocomplemented semilattices; which generalizes modular pseudocomplemented semilattices.We give a characterization and a construction of such class, using a triple containing a Boolean algebra, a semilattice with a greatest element and a structure map. We describe homomorphisms, subalgebras and congruencerelations of the quasi-modular pseudo-complemented semi-lattices by means of triples.
