2 citations · 4 across the 7 of their papers we have counts for
5 papers · 1 filter
The separator of a subset of a semigroup
Attila Nagy
In this paper we introduce a new notion by the help of the idealizer. This new notion is the separator of a subset of a semigroup. We investigate the properties of the separator in…
On Monoid Congruences of Commutative Semigroups
Attila Nagy
In this paper we characterize the monoid congruences of commutative semigroups by the help of the notion of the separator of subsets of semigroups. We show that every monoid congru…
On Commutative Monoid Congruences of Semigroups
Attila Nagy
A subset A of a semigroup S is called a medial subset of S if xaby is in A if and only if xbay is in A for every elements x, y, a, b of S. In the paper we show how we can construct…
Reflexive Unitary Subsemigroups of Left Simple Semigroups
Attila Nagy
Ideal series of semigroups play an important role in the examination of semigroups which have proper two-sided ideals. But the corresponding theorems cannot be used when left simpl…
An Application of the Separator of Subsets of Semigroups in the Number Theory
Attila Nagy
In this paper we give a construction for a special type of congruences on commutative semigroups. We apply our result for the multiplicative semigroup of all positive integers.