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On Ideals in Partially Ordered Ternary Semigroups
The concept of ideals has been extensively studied through various algebraic structures such as near-rings, involution rings, regular rings, gamma-rings, semigroups, ordered semigroups, ternary semigroups and ordered ternary semigroups.
Dattatray Nabajirao Shinde +1 more
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Structure of Partially Ordered Cyclic Semigroups [PDF]
This paper recalls some properties of a cyclic semigroup and examines cyclic subsemigroups in a finite ordered semigroup. We prove that a partially ordered cyclic semigroup has a spiral structure which leads to a separation of three classes of such semigroups. The cardinality of the order relation is also estimated. Some results concern semigroups with
Jósef Drewniak, Jolanta Sobera
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A classification of hull operators in archimedean lattice-ordered groups with unit [PDF]
The category, or class of algebras, in the title is denoted by $\bf W$. A hull operator (ho) in $\bf W$ is a reflection in the category consisting of $\bf W$ objects with only essential embeddings as morphisms.
Ricardo E. Carrera, Anthony W. Hager
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Partial Orders on Transformation Semigroups [PDF]
Denote by \(P(X)\) the semigroup, under composition, of all partial transformations of the set \(X\). Denote by \(\text{dom\,}\alpha\) the domain of \(\alpha\in P(X)\) and denote its range by \(\text{ran\,}\alpha\). Define a partial order \(\leq\) on \(P(X)\) by \(\alpha\leq\beta\) if \(\alpha=\gamma\beta=\beta\mu\) and \(\alpha=\alpha\mu\) for some \(\
Smith, M. Paula Marques, Sullivan, R. P.
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Partial orders in regular semigroups [PDF]
First we have obtained equivalent conditions for a regular semigroup and is equivalent to N = N1 It is observed that every regular semigroup is weakly separative and C ⊆ S and on a completely regular semigroup S ⊆ N and S is partial order . It is also obtained that a band (S, .) is normal iff C = N .
Srinivas, K. V. R, Anasuya, Y. L
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PARTIAL ORDERS ON PARTIAL BAER–LEVI SEMIGROUPS [PDF]
AbstractMarques-Smith and Sullivan [‘Partial orders on transformation semigroups’, Monatsh. Math.140 (2003), 103–118] studied various properties of two partial orders on P(X), the semigroup (under composition) consisting of all partial transformations of an arbitrary set X.
Singha, Boorapa +2 more
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Algebraic Analysis of Multiple Social Networks with multiplex
multiplex is a computer program that provides algebraic tools for the analysis of multiple network structures within the R environment. Apart from the possibility to create and manipulate multivariate data representing multiplex, signed, and two-mode ...
J. Antonio Rivero Ostoic
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On semigroups of relations with the operation of the rectangular product [PDF]
A set of binary relations closed with respect to some collection of operations on relations forms an algebra called an algebra of relations. The theory of algebras of relations is an essential part of modern algebraic logic and has numerous applications ...
Bredikhin, Dmitry Aleksandrovich
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Certain Partial Orders on Semigroups [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A natural partial order for semigroups [PDF]
A partial order on a semigroup ( S , ⋅
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