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

Trace inequalities for positive semidefinite matrices

Certain trace inequalities for positive definite matrices are generalized for positive semidefinite matrices using the notion of the group generalized inverse.

THE ARMENDARIZ GRAPH OF A RING

In this paper we initiate the study of Armendariz graph of a commutative ring R and investigate the basic properties of this graph such as diameter, girth, domination number, etc. The Armendariz graph of a ring R, denote...

A VARIATION OF ZERO-DIVISOR GRAPHS

In this paper, we define a new graph for a ring with unity by extending the definition of the usual ‘zero-divisor graph’. For a ring R with unity, Γ1(R) is defined to be the simple undirected graph having all non-zero el...

Generalized derivations in prime rings and Banach algebras

Let R be a prime ring with extended centroid C, F a generalized derivation of R and n ≥ 1, m ≥ 1 fixed integers. In this paper we study the situations: 1. (F(x ◦ y))m = (x ◦ y) n for all x, y ∈ I, where I is a nonzero id...

Zero-divisor graphs of reduced Rickart *-rings

For a ring A with an involution ∗, the zero-divisor graph of A, Γ∗ (A), is the graph whose vertices are the nonzero left zero-divisors in A such that distinct vertices x and y are adjacent if and only if xy∗ = 0. In this...

Download PDF file
  • EP ID EP394544
  • DOI 10.7151/dmgaa.1262
  • Views 42
  • Downloads 0

How To Cite

Hippolyte Hounnon (2017). All Regular-Solid Varieties of Idempotent Semirings. Discussiones Mathematicae - General Algebra and Applications, 37(1), 5-12. https://europub.co.uk/articles/-A-394544