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

Congruences and Boolean filters of quasi-modular p-algebras

The concept of Boolean filters in p-algebras is introduced. Some properties of Boolean filters are studied. It is proved that the class of all Boolean filters BF(L) of a quasi-modular p-algebra L is a bounded distributiv...

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...

Congruences and Trajectories in Planar Semimodular Lattices

A 1955 result of J. Jakub´ık states that for the prime intervals p and q of a finite lattice, con(p) ≥ con(q) iff p is congruence-projective to q (via intervals of arbitrary size). The problem is how to determine whether...

SEMIGROUPS DERIVED FROM (Γ, N)-SEMIHYPERGROUPS AND T-FUNCTOR

The main purpose of this paper is to introduce the concept of (Γ, n)- semihypergroups as a generalization of hypergroups, as a generalization of nary hypergroups and obtain an exact covariant functor between the category...

IF-FILTERS OF PSEUDO-BL-ALGEBRAS

Characterizations of IF-filters of a pseudo-BL-algebra are established. Some related properties are investigated. The notation of prime IF- filters and a characterization of a pseudo-BL-chain are given. Homomorphisms of...

Download PDF file
  • EP ID EP394544
  • DOI 10.7151/dmgaa.1262
  • Views 44
  • 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