1 citations · 2 across the 20 of their papers we have counts for
25 papers
Comment to: "Generalized hyperideals in locally associative left almost semihypergroups"
Niovi Kehayopulu
This note is written to show that the definition of the -hypergroupoids in [5] should be corrected and that it is not enough to replace the multiplication "$\cdot…
On involution -semigroups
Niovi Kehayopulu
We deal with involution ordered semigroups possessing a greatest element, we introduce the concepts of -regularity, -intra-regularity, -bi-ideal element and -quasi-idea…
An application of -semigroups techniques to the Green's Theorem
Niovi Kehayopulu
The concept of a -semigroup has been introduced by Mridul Kanti Sen in the Int. Symp., New Delhi, 1981. It is well known that the Green's relations play an essential role in stu…
From ordered semigroups to ordered hypersemigroups
Niovi Kehayopulu
We wrote this paper as an example to show the way we pass from ordered semigroups to ordered hypersemigroups.
How we pass from semigroups to hypersemigroups
Niovi Kehayopulu
The aim of writing this paper is given in the title. The results on semigroups can be easily transferred to hyper-semigroups in the way indicated in the present paper.
From semigroups to -semigroups and to hypersemigroups
Niovi Kehayopulu
This paper serves as an example to show the way we pass from semigroups to -semigroups and to hypersemigroups.
Fuzzy sets in -hypergroupoids
Niovi Kehayopulu
This paper serves as an example to show the way we pass from ordered groupoids (ordered semigroups) to ordered hypergroupoids (ordered hypersemigroups), from groupoids (semigroups)…
A characterization of regular, intra-regular, left quasi-regular and semisimple hypersemigroups in terms of fuzzy sets
Niovi Kehayopulu
We prove that an hypersemigroup is regular if and only, for any fuzzy subset of , we have and it is intra-regular if and only if, for any fuzz…
Fuzzy right (left) ideals in hypergroupoids and fuzzy bi-ideals in hypersemigroups
Niovi Kehayopulu
We introduce the concepts of fuzzy right and fuzzy left ideals of hypergroupoids and the concept of a fuzzy bi-ideal of an hypersemigroup and we show that a fuzzy subset of an…
On fuzzy prime and fuzzy semiprime ideals of -hypergroupoids
Niovi Kehayopulu
We deal with an hypergroupoid endowed with a relation denoted by "", we call it --hypergroupoid. We prove that a nonempty subset of a --hypergroupoid is a pr…
Decomposition of intra-regular --semigroups into simple components
Niovi Kehayopulu
We keep the definition of intra-regularity (left regularity) of --semigroups introduced in arXiv: 1511.00679 which is absolutely necessary for the investigation. Being able…
On hypersemigroups
Niovi Kehayopulu
We prove that a nonempty subset of a regular hypersemigroup is a bi-ideal of if and only if it is represented in the form where is a right ideal and a l…
On intra-regular and some left regular -semigroups
Niovi Kehayopulu, Michael Tsingelis
We characterize the intra-regular -semigroups and the left regular -semigroups in which for every in terms of filters and we prove, among othe…
On intra-regular and left regular and left duo ordered -semigroups
Niovi Kehayopulu, Michael Tsingelis
For an intra-regular or a left regular and left duo ordered -semigroup , we describe the principal filter of which plays an essential role in the structure of this type o…
Comment "On dual ordered semigroups"
Niovi Kehayopulu
This is about the paper by Thawhat Changphas and Nawamin Phaipong in Quasigroups and Related Systems 22 (2014), 193--200.
On hypersemigroups
Niovi Kehayopulu, Michael Tsingelis
In this paper we show the way we pass from semigroups (without order) to hypersemigroups. Moreover we show that, exactly as in semigroups, in the results of hypersemigroups based o…
On Fuzzy Ideals and Level Subsets of Ordered -Groupoids
Niovi Kehayopulu
We characterize the fuzzy left (resp. right) ideals, the fuzzy ideals and the fuzzy prime (resp. semiprime) ideals of an ordered -groupoid in terms of level subsets and we p…
How we pass from fuzzy -semigroups to fuzzy --semigroups
Niovi Kehayopulu
The results on fuzzy ordered semigroups (or on fuzzy semigroups) can be transferred to fuzzy ordered gamma (or to fuzzy gamma) semigroups. We show the way we pass from fuzzy ordere…
Remark on quasi-ideals of ordered semigroups
Niovi Kehayopulu
The aim is to correct part of the Remark 3 of my paper "On regular, intra-regular ordered semigroups" in Pure Math. Appl. (PU.M.A.) 4, no. 4 (1993), 447--461. On this occasion, som…
Comment on "Filtres in ordered -semigroups"
Niovi Kehayopulu
This is about the paper in the title by Kostaq Hila in Rocky Mt. J. Math. 41, no. 1 (2011), 189-203 for which corrections should be done.
Fuzzy semiprime subsets of ordered groupoids (groupoids)
Niovi Kehayopulu, Michael Tsingelis
A fuzzy subset of an ordered semigroup (or semigroup) is called fuzzy semiprime if for every (Definition 1). Following the terminology of semiprim…
On ordered -semigroups (-semigroups)
Niovi Kehayopulu
We add here some further characterizations to the characterizations of strongly regular ordered -semigroups already considered in Hacettepe J. Math. 42 (2013), 559--567. Our res…
Comment on "Generalized ideal elements in --semigroups"
Niovi Kehayopulu, Michael Tsingelis
Concerning the paper in the title by K. Hila and E. Pisha in Commun. Korean Math. Soc. Volume 26, Issue 3 (2011), 373--384, we give our results and make the main corrections.
On the paper "On Green's relations, -regularity and Quasi-ideals in -semigroups"
Niovi Kehayopulu
This is about the paper in the title published by K. Hila and J. Dine in Acta Math. Sinica, English Series, 29, no. 3, (2013), 609--624.