In this work, we introduced and studied a new kind of soft mapping on soft topological spaces with an ideal, which we called soft strongly generalized mapping with respect an ideal I, we studied the concepts like SSIg-continuous, Contra-SSIg-continuous, SSIg-open, SSIg-closed and SSIg-irresolute mapping and the relations between these kinds of mappings and the composition of two mappings of the same type of two different types, with proofs or counter examples
In this paper, we introduce and study new classes of soft open sets in soft bitopological spaces called soft (1,2)*-omega open sets and weak forms of soft (1,2)*-omega open sets such as soft (1,2)*-α-ω-open sets, soft (1,2)*-pre-ω-opensets, soft (1,2)*-b-ω-open sets, and soft (1,2)*-β-ω-open sets. Moreover; some basic properties and the relation among these concepts and other concepts also have been studied.
In this paper, the concept of soft closure spaces is defined and studied its basic properties. We show that the concept soft closure spaces are a generalization to the concept of
The main purpose of this article is to study the soft LC-spaces as soft spaces in which every soft Lindelöf subset of is soft closed. Also, we study the weak forms of soft LC-spaces and we discussed their relationships with soft LC-spaces as well as among themselves.
In this paper, the concept of fully stable Banach Algebra modules relative to an ideal has been introduced. Let A be an algebra, X is called fully stable Banach A-module relative to ideal K of A, if for every submodule Y of X and for each multiplier ?:Y?X such that ?(Y)?Y+KX. Their properties and other characterizations for this concept have been studied.
Let R be an associative ring. The essential purpose of the present paper is to introduce the concept of generalized commuting mapping of R. Let U be a non-empty subset of R, a mapping : R R is called a generalized commuting mapping on U if there exist a mapping :R R such that =0, holds for all U. Some results concerning the new concept are presented.
ABSTRACT
Herbs and spices have long been used to support various food products, including dairy products because of their flavoring, taste, texture and general appearance as well as therapeutic properties such as antioxidant activities, infections, microbes, anti-diabetes and hypertension. Therefore, this study aimed to demonstrate the effect of adding ginger, cinnamon, lycopene extract and olive oil on the physiochemical properties, the quality of the soft cheese produced and the extent of its acceptance by the Iraqi consumer, who prefers this product in abundance to other types of cheese. So, this study was prepared
... Show MoreThe concept of separation axioms constitutes a key role in general topology and all generalized forms of topologies. The present authors continued the study of gpα-closed sets by utilizing this concept, new separation axioms, namely gpα-regular and gpα-normal spaces are studied and established their characterizations. Also, new spaces namely gpα-Tk for k = 0, 1, 2 are studied.
The soft sets were known since 1999, and because of their wide applications and their great flexibility to solve the problems, we used these concepts to define new types of soft limit points, that we called soft turning points.Finally, we used these points to define new types of soft separation axioms and we study their properties.
The aim of this research is to use the class of soft simply open set to define new types of separation axioms in soft topological spaces. We also introduce and study the concept of soft simply compactness.
We introduce and discuss recent type of fibrewise topological spaces, namely fibrewise soft bitopological spaces. Also, we introduce the concepts of fibrewise closed soft bitopological spaces, fibrewise open soft bitopological spaces, fibrewise locally sliceable soft bitopological spaces and fibrewise locally sectionable soft bitopological spaces. Furthermore, we state and prove several propositions concerning these concepts.