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کاربرد نوع شرط:
- جایگاه : پژوهشی
- مجله: Sahand Communications in Mathematical Analysis
- نوع مقاله: Journal Article
- کلمات کلیدی: Topological molecular lattice,Generalized Topological molecular lattice,Generalized order homomorphism,Separation axiom
- چکیده:
- چکیده انگلیسی: In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices, topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces. Topological molecular lattices were defined by closed elements, but in this new structure we present the concept of the open elements and define a closed element by the pseudocomplement of an open element. We have two structures on a completely distributive complete lattice, topology and generalized co-topology which are not dual to each other. We study the basic concepts, in particular separation axioms and some relations among them.
- انتشار مقاله: 30-09-1395
- نویسندگان: Narges Nazari,Ghasem Mirhosseinkhani
- مشاهده
- جایگاه : پژوهشی
- مجله: Sahand Communications in Mathematical Analysis
- نوع مقاله: Journal Article
- کلمات کلیدی: Exponentiable object,Soft set theory,Soft topology
- چکیده:
- چکیده انگلیسی: An object $X$ of a category $mathbf{C}$ with finite limits is called exponentiable if the functor $-times X:mathbf{C}rightarrow mathbf{C}$ has a right adjoint. There are many characterizations of the exponentiable spaces in the category $mathbf{Top}$ of topological spaces. Here, we study the exponentiable objects in the category $mathbf{STop}$ of soft topological spaces which is a generalization of the category $mathbf{Top}$. We investigate the exponentiability problem and give a characterization of exponentiable soft spaces. Also we
give the definition of exponential topology on the lattice of soft open sets of a soft space and present some characterizations of it.- انتشار مقاله: 22-02-1394
- نویسندگان: Ghasem Mirhosseinkhani,Ahmad Mohammadhasani
- مشاهده
- جایگاه : پژوهشی
- مجله: Khayyam Journal of Mathematics
- نوع مقاله: Journal Article
- کلمات کلیدی: Exponentiable object,Cartesian closed category,Topological molecular lattices
- چکیده:
- چکیده انگلیسی: A category C is called cartesian closed provided that it has finite products and for each C-object A the functor (A×−) : A → A has a right adjoint. It is well known that the category TML of topological molecular lattices with generalized order homomorphims in the sense of Wang is both complete and cocomplete, but it is not cartesian closed. In this paper, we introduce a cartesian closed subcategory of this category.
- انتشار مقاله: 14-11-1397
- نویسندگان: Ghasem Mirhosseinkhani,Mahboobeh Akbarpour
- مشاهده
- جایگاه : پژوهشی
- مجله: Algebraic Structures and Their Applications
- نوع مقاله: Journal Article
- کلمات کلیدی: Topological fuzz,Exponentiable object,Cartesian closed category
- چکیده:
- چکیده انگلیسی: A category $mathbf{C}$ is called Cartesian closed provided that it has finite products and for each
$mathbf{C}$-object $A$ the functor $(Atimes -): Ara A$ has a right adjoint. It is well known that the category $mathbf{TopFuzz}$ of all topological fuzzes is both complete and cocomplete, but it is not Cartesian closed. In this paper, we introduce some Cartesian closed subcategories of this category.- انتشار مقاله: 10-11-1396
- نویسندگان: Mahboobeh Akbarpour,Ghasem Mirhosseinkhani
- مشاهده