ALL REGULAR-SOLID VARIETIES OF IDEMPOTENT SEMIRINGS

Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2017, Vol 37, Issue 1

Abstract

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 of semirings. In this paper, we discuss the idempotent part.

Authors and Affiliations

Hippolyte Hounnon

Keywords

Related Articles

QUADRATIC APPROXIMATION OF GENERALIZED TRIBONACCI SEQUENCES

In this paper, we give quadratic approximation of generalized Tribonacci sequence {Vn}n≥0 defined by Vn = rVn−1 + sVn−2 + tVn−3 (n ≥ 3) and use this result to give the matrix form of the n-th power of a companion matrix...

ON PERFECTNESS OF INTERSECTION GRAPH OF IDEALS OF Zn

In this short paper, we characterize the positive integers n for which intersection graph of ideals of Zn is perfect.

ALL MAXIMAL COMPLETELY REGULAR SUBMONOIDS OF HypG(2)

In this paper we consider mappings σ which map the binary operation symbol f to the term σ(f) which do not necessarily preserve the arity. These mapping are called generalized hypersubstitutions of type τ = (2) and we de...

FOLDING THEORY OF IMPLICATIVE AND OBSTINATE IDEALS IN BL-ALGEBRAS

In this paper, the concepts of n-fold implicative ideals and n-fold obstinate ideals in BL-algebras are introduced. With respect to this concepts, some related results are given. In particular, it is proved that an ideal...

DEVELOPED ZARISKI TOPOLOGY-GRAPH

In this paper, we introduce the developed Zariski topology-graph associated to an R-module M with respect to a subset X of the set of all quasi-prime submodules of M and investigate the relationship between the algebraic...

Download PDF file
  • EP ID EP304533
  • DOI -
  • Views 27
  • Downloads 0

How To Cite

Hippolyte Hounnon (2017). ALL REGULAR-SOLID VARIETIES OF IDEMPOTENT SEMIRINGS. Discussiones Mathematicae - General Algebra and Applications, 37(1), -. https://europub.co.uk/articles/-A-304533