شماره ركورد كنفرانس :
4380
عنوان مقاله :
Some properties of a graph associated to a
lattice
پديدآورندگان :
Sh. Malekpour Department of Pure Mathematics, Faculty of Mathematical Sciences,
University of Kashan, Kashan, Iran , B. Bazigaran Department of Pure Mathematics, Faculty of Mathematical Sciences,University of Kashan, Kashan, Iran
كليدواژه :
Quotient lattice , prime filter , congruence relation.
عنوان كنفرانس :
دومين كنفرانس جبر محاسباتي، نظريه محاسباتي اعداد و كاربردها
چكيده فارسي :
In this paper, some properties of the graph GS(L), where L is a lattice and S is a ^-closed subset
of L, are obtained. Moreover, the graph structure of GS(L) under graph operations union, join,
lexicographic product and tensor product are determined. The graph associated to quotient lattice
is also studied.