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Linear Diophantine fuzzy substructures of ordered semigroups
As an extension of the fuzzy set, linear Diophantine fuzzy set (LDFS) was recently introduced. In this paper, we apply the concept of LDFS in ordered...
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Orderability of the prefix expansion of an ordered inverse semigroup
We answer two orderability questions about the prefix expansion semigroup Pr ( G ) of an inverse semigroup G . We show that if G is a left ordered...
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On the representation of ordered semigroups by transformations of ordered sets
A transformation of an ordered set M is an isotone map** of M into M . By a representation of an ordered semigroup S by transformations of an...
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Maximal Ordered Groupoids and a Galois Correspondence for Inverse Semigroup Orthogonal Actions
We introduce maximal ordered groupoids and study some of their properties. Also, we use the Ehresmann–Schein–Nambooripad Theorem, which establishes a...
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A class of join-completions of partially ordered semigroups
We introduce the notions of the join-completions of a partially ordered semigroup S and the weakly consistent nuclei on the power-set
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Endomorphisms of the Semigroup of Nonnegative Invertible Matrices of Order Two Over Commutative Ordered Rings
Let R be a linearly ordered commutative ring with 1 / 2 generated by its invertible elements, G 2 ( R ) be the subsemigroup in GL 2 ( R ) consisting of all...
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The Projective Geometry Over Partially Ordered Skew Fields
Derivative lattices associated with partially ordered linear spaces over partially ordered skew fields are considered. Properties of the convex...
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Ranks and presentations of some normally ordered inverse semigroups
In this paper we compute the rank and exhibit a presentation for the monoids of all P -stable and P -order preserving partial permutations on a finite...
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Positive Mild Solutions for Damped Elastic Systems with Delay and Nonlocal Conditions in Ordered Banach Space
In this paper, the existence of minimal positive mild solution of a class of structural damped elastic systems with delay and nonlocal conditions on...
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On the index and roots of time ordered product systems
In this paper, motivated by Bhat et al. ( Trans. Amer. Math. Soc. 370 (2018) 2605–2637), we determine all continuous roots of the vacuum unit in the...
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On subamalgams of partially ordered monoids
The study of pomonoid amalgams was initiated by Fakhuruddin in the 1980s and subsequently extended by Bulman-Fleming, Sohail and the authors in the...
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Truncations of ordered abelian groups
We give axioms for a class of ordered structures, called truncated ordered abelian groups (TOAG’s) carrying an addition. TOAG’s come naturally from...
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Relative Ideals in Ordered Semigroups
In this paper, after introducing the notion of relative ideals in ordered semigroups, some important properties of these ideals are studied. Then...
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Analysis of \(\Gamma \)-semigroups based on bipolar complex fuzzy sets
Kee** in view the importance of fuzzy algebraic structures, in this manuscript, we develop the concept of bipolar complex fuzzy (BCF)
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Extremal mild solutions to Hilfer evolution equations with non-instantaneous impulses and nonlocal conditions
In this article, we study the existence of extremal mild solutions for a class of Hilfer fractional evolution equation with non-instantaneous...