GRADED DIUNIFORMITIES

Authors

  • Ramazan Ekmekci Department of Mathematics, Canakkale Onsekiz Mart University, Canakkale, TURKEY
  • Rza Erturk Department of Mathematics, Hacettepe University, Ankara, TURKEY
Abstract:

Graded ditopological texture spaces have been presented and discussed in categorical aspects by Lawrence M. Brown and Alexander {v S}ostak in cite{BS}. In this paper, the authors generalize the structure of diuniformity in ditopological texture spaces defined in cite{OB} to the graded ditopological texture spaces and investigate graded ditopologies generated by graded diuniformities. The autors also compare the properties of diuniformities and graded diuniformities.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Graded Transcendental Extensions of Graded Fields

We study transcendency properties for graded field extension and give an application to valued field extensions. 1. Introduction. An important tool to study rings with valuation is the so-called associated graded ring construction: to a valuation ring R, we can associate a ring gr(R) graded by the valuation group. This ring is often easier to study, and one tries to lift properties back from gr...

full text

Graded Differential Geometry of Graded Matrix Algebras

We study the graded derivation-based noncommutative differential geometry of the Z2-graded algebra M(n|m) of complex (n+m)× (n+m)-matrices with the “usual block matrix grading” (for n 6= m). Beside the (infinite-dimensional) algebra of graded forms the graded Cartan calculus, graded symplectic structure, graded vector bundles, graded connections and curvature are introduced and investigated. In...

full text

Graded and Non-graded Kazhdan-lusztig Theories

Let %‘A be the category of finite dimensional right modules for a quasi-hereditary algebra A. In the context of various types of Kazhdan-Lusztig theories, we study both the homological dual A! = Extt, (A/ rad(A), A/ rad(A)) and the graded algebra grA = @rad(A)j/rad(A)j+‘. For example, we investigate a condition introduced in [6], and here called (SKL’), which guarantees that A!’ E gr A. A stren...

full text

Graded modality

Note: This is a draft as of October 3, 2014 of a survey article now under review for the Companion to Semantics being prepared for Wiley by L. Matthewson, C. Meier, H. Rullmann, and E. Zimmermann. The intention is for the article to be engaging and accessible to students with 1 or 2 courses in formal semantics, so I’ve tried to keep it as non-technical and empiricallyoriented as possible. Sugge...

full text

On graded hyperrings and graded hypermodules

Let $G$ be a monoid with identity $e$. In this paper, first we introduce the notions of $G$-graded hyperrings, graded hyperideals and graded hyperfields in the sense of Krasner hyperring $R$. Also, we define the notion of a greded $R$-hypermodules and some examples are presented. Then we investigate graded maximal, graded prime and graded primary hyperideals of a graded hyperring $R$. Finally, ...

full text

Graded LinClosure⋆

We present graded extension of the algorithm LinClosure. Graded LinClosure can be used to compute degrees of semantic entailment from sets of fuzzy attribute implications. It can also be used together with graded extension of Ganter’s NextClosure algorithm to compute non-redundant bases of data tables with fuzzy attributes. We present foundations, algorithm, preliminary analysis of its complexi...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 14  issue 3

pages  83- 103

publication date 2017-06-29

{@ msg @}

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023