%0 Journal Article
%T On nuclei of sup-$\Sigma$-algebras
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Zhang, X.
%A Zhou, Y.
%D 2017
%\ 11/30/2017
%V 43
%N 6
%P 1709-1721
%! On nuclei of sup-$\Sigma$-algebras
%K Sup-$\Sigma$-algebra
%K nucleus
%K congruence
%K quotient
%R
%X In this paper, algebraic investigations on sup-$\Sigma$-algebras are presented. A representation theorem for sup-$\Sigma$-algebras in terms of nuclei and quotients is obtained. Consequently, the relationship between the congruence lattice of a sup-$\Sigma$-algebra and the lattice of its nuclei is fully developed.
%U http://bims.iranjournals.ir/article_1057_99be559b2c84987c08fb22e247fad759.pdf