منابع مشابه
Soft Congruence Relations over Rings
Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft congruence relations by using the soft set theory. The notions of soft quotient rings, generalized soft ideals and generalized soft quotient rings, are introduced, and several related properties are investigated. Also, we obtain a...
متن کاملThe congruence lattice of a lattice
The is a temporarty set of notes based on several older (and some ancient) notes. In due course they will be re-done. Much of this is extracted from [5], but I don’t recommend reading that. Let Λ be an arbitrary lattice. We always assume the Λ has a top > and a bottom ⊥. Later we need to assume that Λ is modular, and perhaps even later that it is an idiom, but not just yet. Let Cong(Λ) be the f...
متن کاملLattice of full soft Lie algebra
In this paper, we study the relation between the soft sets and soft Lie algebras with the lattice theory. We introduce the concepts of the lattice of soft sets, full soft sets and soft Lie algebras and next, we verify some properties of them. We prove that the lattice of the soft sets on a fixed parameter set is isomorphic to the power set of a ...
متن کاملA congruence relation for sPBC
In this paper we define a congruence relation for regular terms of sPBC (stochastic Petri Box Calculus), by means of which we identify those processes that have the same behaviour, not only in terms of the multiactions that they can perform, but also taking into account the stochastic information that they have associated. In order to define this equivalence relation we have to define an adequa...
متن کاملOn the Congruence Lattice of an Abelian Lattice Ordered Group
In the present note we characterize finite lattices which are isomorphic to the congruence lattice of an abelian lattice ordered group.
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ژورنال
عنوان ژورنال: Hacettepe Journal of Mathematics and Statistics
سال: 2017
ISSN: 1303-5010
DOI: 10.15672/hjms.2017.436