INTRODUCING FULLY UP-SEMIGROUPS
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2018, Vol 38, Issue 2
Abstract
In this paper, we introduce some new classes of algebras related to UPalgebras and semigroups, called a left UP-semigroup, a right UP-semigroup, a fully UP-semigroup, a left-left UP-semigroup, a right-left UP-semigroup, a left-right UP-semigroup, a right-right UP-semigroup, a fully-left UP-semigroup, a fully-right UP-semigroup, a left-fully UP-semigroup, a right-fully UP-semigroup, a fully-fully UP-semigroup, and find their examples. Keywords: semigroup, UP-algebra, fully UP-semigroup. 2010 Mathematics Subject Classification: 08A99, 03G25.
Authors and Affiliations
Keywords
Related Articles
- EP ID EP576527
- DOI -
- Views 26
- Downloads 0
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...
A NOTE ON IDEAL BASED ZERO-DIVISOR GRAPH OF A COMMUTATIVE RING
In this paper, we consider the ideal based zero divisor graph ΓI (R) of a commutative ring R. We discuss some graph theoretical properties of ΓI (R) in relation with zero divisor graph. We also relate certain parameters...
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...
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...
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...