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<creators>
<creator>
<creatorName>Kehayopulu, N.</creatorName>
</creator>
<creator>
<creatorName>Tsingelis, M.</creatorName>
</creator>
</creators>
<titles>
<title xml:lang='en'>Fuzzy ideals in ordered semigroups
</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2007</publicationYear>
<relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1561-2848</relatedIdentifier>
<subjects>
<subject>Fuzzy right ideal</subject>
<subject>fuzzy left ideal</subject>
<subject>fuzzy quasi-ideal</subject>
<subject>fuzzy bi-ideal</subject>
<subject>ordered
semigroup</subject>
</subjects>
<dates>
<date dateType='Issued'>2007-06-04</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Journal article</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'>The right (left) ideals, quasi- and bi-ideals play an essential role in studying
the structure of some ordered semigroups. In an attempt to show how
similar is the theory of ordered semigroups based on ideals or ideal elements
with the theory of ordered semigroups based on fuzzy ideals, keeping the
usual denitions of fuzzy right ideal, fuzzy left ideal, fuzzy quasi-ideal and
fuzzy bi-ideal, we show here that in ordered groupoids, the fuzzy right
(resp. left) ideals are fuzzy quasi-ideals and in ordered semigroups, the
fuzzy quasi-ideals are fuzzy bi-ideals. Moreover, we prove that in regular
ordered semigroups, the fuzzy quasi-ideals and the fuzzy bi-ideals coincide.
We nally show that in an ordered semigroup the fuzzy quasi-ideals are just
intersections of fuzzy right and fuzzy left ideals.
</description>
</descriptions>
<formats>
<format>application/pdf</format>
</formats>
</resource>