SUPERIOR SUBALGEBRAS AND IDEALS OF BCK/BCI-ALGEBRAS
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2016, Vol 36, Issue 1
Abstract
The notions of superior subalgebras and (commutative) superior ideals are introduced, and their relations and related properties are investigated. Conditions for a superior ideal to be commutative are provided.
Authors and Affiliations
Young Bae Jun, Seok Zun Song
ON L-FUZZY MULTIPLICATION MODULES
Let L be a complete lattice. In a manner analogous to a commutative ring, we introduce and investigate the L-fuzzy multiplication modules over a commutative ring with non-zero identity. The basic properties of the prime...
A NOTE ON ADDITIVE GROUPS OF SOME SPECIFIC TORSION-FREE RINGS OF RANK THREE AND MIXED ASSOCIATIVE RINGS
It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free A...
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...
NONDISTRIBUTIVE RINGS AND THEIR ORE ¨ LOCALIZATIONS
In the paper, we introduce the notion of a nondistributive ring N as a generalization of the notion of an associative ring with unit, in which the addition needs not be abelian and the distributive law is replaced by n0...
ON 2-ABSORBING FILTERS OF LATTICES
Let L be a lattice with 1. In this paper we study the concept of 2-absorbing filter which is a generalization of prime filter. A proper filter F of L is called a 2-absorbing filter (resp. a weakly 2-absorbing) if wheneve...