CUBIC GENERALIZED BI-IDEALS IN SEMIGROUPS

Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2016, Vol 36, Issue 2

Abstract

In this paper, the concept of a cubic generalized bi-ideal in a semigroup is introduced, which is a generalization of the concept of a fuzzy generalized bi-ideal and interval-valued fuzzy generalized bi-ideal. Using this concept some characterization theorems are provided. In particular, we characterize regular semigroups by using cubic generalized bi-ideals. We show how the images or inverse images of a cubic generalized bi-ideal of a semigroup become a cubic generalized bi-ideal.

Authors and Affiliations

Asmat Hadi, Asghar Khan

Keywords

Related Articles

LEFT ZEROID AND RIGHT ZEROID ELEMENTS OF Γ-SEMIRINGS

In this paper we introduce the notion of a left zeroid and a right zeroid of Γ-semirings. We prove that, a left zeroid of a simple Γ-semiring M is regular if and only if M is a regular Γ-semiring.

PSEUDO-BCH-ALGEBRAS

The notion of pseudo-BCH-algebras is introduced, and some of their properties are investigated. Conditions for a pseudo-BCH-algebra to be a pseudo-BCI-algebra are given. Ideals and minimal elements in pseudo-BCH algebras...

ALL REGULAR-SOLID VARIETIES OF IDEMPOTENT SEMIRINGS

The lattice of all regular-solid varieties of semirings splits in two complete sublattices: the sublattice of all idempotent regular-solid varieties of semirings and the sublattice of all normal regular-solid varieties o...

VARIETIES OF REGULAR ALGEBRAS AND UNRANKED TREE LANGUAGES

In this paper we develop a variety theory for unranked tree languages and unranked algebras. In an unranked tree any symbol may label a node with any number of successors. Such trees appear in markup languages such as XM...

Jordan numbers, Stirling numbers and sums of powers

In the paper a new combinatorical interpretation of the Jordan numbers is presented. Binomial type formulae connecting both kinds of numbers mentioned in the title are given. The decomposition of the product of polynomia...

Download PDF file
  • EP ID EP304512
  • DOI -
  • Views 46
  • Downloads 0

How To Cite

Asmat Hadi, Asghar Khan (2016). CUBIC GENERALIZED BI-IDEALS IN SEMIGROUPS. Discussiones Mathematicae - General Algebra and Applications, 36(2), -. https://europub.co.uk./articles/-A-304512