Results 21 to 30 of about 225 (61)
On rough sets induced by fuzzy relations approach in semigroups
Open Mathematics, 2018 In this paper, we introduce a rough set in a universal set based on cores of successor classes with respect to level in a closed unit interval under a fuzzy relation, and some interesting properties are investigated.
Prasertpong Rukchart, Siripitukdet Manoj
doaj +1 more source
Some results on ordered filters of implicative semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 12, Page 731-735, 2001., 2001 We introduce a special set in an implicative semigroup. Using it, an equivalent condition of an ordered filter is stated. We prove that an ordered filter can be represented by the union of such sets.
Young Bae Jun
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 11, Page 707-712, 2001., 2001 We consider the semigroup S¯ of the fuzzy points of a semigroup S, and discuss the relation between the fuzzy interior ideals and the subsets of S¯ in an (intra‐regular) semigroup S.
Kyung Ho Kim
wiley +1 more source
Intuitionistic fuzzy interior ideals of semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 261-267, 2001., 2001 We consider the intuitionistic fuzzification of the concept of interior ideals in a semigroup S, and investigate some properties of such ideals. For any homomorphism f from a semigroup S to a semigroup T, if B = (μB, γB) is an intuitionistic fuzzy interior ideal of T, then the preimage f−1(B) = (f−1(μB), f−1(γB)) of B under f is an intuitionistic fuzzy
Kyung Ho Kim, Young Bae Jun
wiley +1 more source
Positive implicative ordered filters of implicative semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 12, Page 801-806, 2000., 2000 We introduce the notion of positive implicative ordered filters in implicative semigroups. We show that every positive implicative ordered filter is both an ordered filter and an implicative ordered filter. We give examples that an ordered filter (an implicative ordered filter) may not be a positive implicative ordered filter.
Young Bae Jun, Kyung Ho Kim
wiley +1 more source
A further study on ordered regular equivalence relations in ordered semihypergroups
Open Mathematics, 2018 In this paper, we study the ordered regular equivalence relations on ordered semihypergroups in detail. To begin with, we introduce the concept of weak pseudoorders on an ordered semihypergroup, and investigate several related properties.
Tang Jian +3 more
doaj +1 more source
Semigroups of partial transformations with kernel and image restricted by an equivalence [PDF]
, 2020 For an arbitrary set X and an equivalence relation μ on X, denote by Pμ(X) the semigroup of partial transformations α on X such that xμ⊆x(ker(α)) for every x∈dom(α), and the image of α is a partial transversal of μ.
André, Jorge M., Konieczny, Janusz
core +1 more source
Semigroup Closures of Finite Rank Symmetric Inverse Semigroups
, 2008 We introduce the notion of semigroup with a tight ideal series and investigate their closures in semitopological semigroups, particularly inverse semigroups with continuous inversion.
A. Abd-Allah +35 more
core +1 more source
Prime and primary ideals in characteristic one [PDF]
, 2013 We study zero divisors and minimal prime ideals in semirings of characteristic one. Thereafter we find a counterexample to the most obvious version of primary decomposition, but are able to establish a weaker version.
Lescot, Paul
core
On ideals of affine semigroups and affine semigroups with maximal embedding dimension
Open MathematicsLet S⊆NpS\subseteq {{\mathbb{N}}}^{p} be a semigroup, any P⊆SP\subseteq S is an ideal of SS if P+S⊆PP+S\subseteq P, and an I(S)I\left(S)-semigroup is the affine semigroup P∪{0}P\cup \left\{0\right\}, with PP an ideal of SS. We characterise the I(S)I\left(
García-García J. I. +2 more
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