Semigroups, Green’s Relations and Relational Structures
Green's relations on ternary semigroups
... In this paper we study Green’s relations on ternary semigroup in view of those obtained in binary semigroups. Many interesting results (essentially analogous of Green’s lemmas for semigroups [4] and ...
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Ideals and Green's relations in ordered semigroups
... in semigroups, Green’s relations play an important role in the theory of ordered semigroups—especially for decompositions of such ...ordered semigroups which are defined via the Green’s ...
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Green’s Relations in Ordered Gamma-Semigroups in Terms of Fuzzy Subsets
... Green’s Relations in Ordered Gamma-Semigroups in Terms of Fuzzy Subsets Aiyared Iampan and Manoj Siripitukdet Abstract—In this paper, we characterize the Green’s relations R, L, I and the usual ...
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Green's relations in semigroups of functions
... H-class-preserving or R-class-preserving ~ is again the identity.. In the light of this remark we state the following theorem. Therefore the assertion follows as in[r] ...
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Idempotents, band and Green's relations on ternary semigroups
... Abstract. This paper is for one part a generalization of some results obtained by Miyuki Yamada [20] in the case of binary semigroups to ternary semigroups. We prove analogous of almost all the results ...
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Green index in semigroups : generators, presentations and automatic structures
... Green’s relations, does not succumb to the difficulties described in the previ- ous ...call Green index, provides a concept that is very natural from a structural point of view (due to its connection to ...
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Green index and finiteness conditions for semigroups
... Green’s relations. Due to this connection we will name this new notion the Green index of a ...that Green index is strong enough to prove common generalizations of both finite index subgroup and ...
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Generalized inverse semigroups of Green’s Fuzzy Relations
... is an open access article distributed under the Creative Commons Attribution License, which distribution, and reproduction in any medium, provided the original work is properly cited. The preliminaries of the ideal ...
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Some algebraic structures on the generalization general products of monoids and semigroups
... algebraic structures such as regularity, inverse property, Green’s relations over this new generalization, and to investigate some other properties and the product obtained by a left restriction semigroup ...
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Representation of Steinitz's lattice in lattices of substructures of relational structures
... It is shown how to build the certain isomorphism between Steinitz’s lattice and a lattice that occurs as a result of “lattice completion”. In Section 5 we give examples of an application of the construction of “lattice ...
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Green’s Condition and Green-Kehayopulu Relations on le-Ternary Semigroups
... the Green-Kehayopulu relations in le- ternary semigroups mimics the definition of the Green-Kehayopulu relations in le-semigroups that was introduced in 2002 by Petro and Pasku ...
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Cylindric structures and dependencies in relational databases
... with relational operators, there has al- ways been an algebraic trend in the study of data dependencies in the sense that one looked for axioms for operators on relations – in other words, for suitable ...
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Relational Structures and Models for Coreference Resolution
... and relational information exist, most notably ACE-05. ACE-style relational information could be useful to increase precision, by ruling out coreference relations between entities already known to be ...
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Social Movements and International Relations: A Relational Framework
... a relational framework that can analytically encompass the diverse ideological orientations of SM, different patterns of interaction with world political structures, and a wider array of eventual SM ...
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Some remarks and results on relational and algebraic structures
... non-finitary relations and operations for which many of the results of Model Theory (stated usually for finitary structures) can be generalized. §2. NOTATION AND TERMINOLOGY This work is nearly ...
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Rough Set Models induced by Serial Fuzzy Relations Approach in Semigroups
... Fuzzy Relations Approach in Semigroups Rukchart Prasertpong, Manoj Siripitukdet Abstract—This work presents rough sets in approximation spaces based on overlaps of successor classes with respect to level in ...
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Using Lexical and Relational Similarity to Classify Semantic Relations
... of relational similarity is a means of compar- ing ...strings s, t by mapping them into feature vectors φ String (s), φ String (t) whose non-zero elements index the subsequences con- tained in each ...
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Fractal, group theoretic, and relational structures on Cantor space
... invariant relations and gluing relations from edge replace- ment ...of relations are on different spaces, specifically C n and E(G 0 ) × C n ...
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Towards an Ontology of Spatial Relations and Relational Constraints: The Need for Constraints and Spatial Relations Ontology
... implicit structures of a feature, like the skeleton of a polygon, that follows a river (Figure 6e), or the thalweg in which the river flows (Figure ...spatial relations require an extension of our model ...
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On S-semigroups of automata
... the S-semigroups to determine series-parallel, and feedback decompositions of ...an S-semigroup of an automaton and the S-semigroups of the automata involved in a decomposition of that ...
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