The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E-Inversive Semigroups

Author

Wang, Shou-feng

Source

The Scientific World Journal

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-05-05

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Medicine
Information Technology and Computer Science

Abstract EN

The aim of this paper is to investigate the lattices of group fuzzy congruences and normal fuzzy subsemigroups on E-inversive semigroups.

We prove that group fuzzy congruences and normal fuzzy subsemigroups determined each other in E-inversive semigroups.

Moreover, we show that the set of group t-fuzzy congruences and the set of normal subsemigroups with tip t in a given E-inversive semigroup form two mutually isomorphic modular lattices for every t∈0,1.

American Psychological Association (APA)

Wang, Shou-feng. 2014. The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E-Inversive Semigroups. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1049524

Modern Language Association (MLA)

Wang, Shou-feng. The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E-Inversive Semigroups. The Scientific World Journal No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1049524

American Medical Association (AMA)

Wang, Shou-feng. The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E-Inversive Semigroups. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1049524

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1049524