Results 1 to 10 of about 135 (132)

On Ideals in Partially Ordered Ternary Semigroups

open access: yesRatio Mathematica, 2023
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
doaj   +2 more sources

Structure of Partially Ordered Cyclic Semigroups [PDF]

open access: yesCzechoslovak Mathematical Journal, 2003
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
exaly   +2 more sources

A classification of hull operators in archimedean lattice-ordered groups with unit [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2020
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
doaj   +1 more source

Partial Orders on Transformation Semigroups [PDF]

open access: yesMonatshefte f�r Mathematik, 2003
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.
openaire   +2 more sources

Partial orders in regular semigroups [PDF]

open access: yesProyecciones (Antofagasta), 2011
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
openaire   +2 more sources

PARTIAL ORDERS ON PARTIAL BAER–LEVI SEMIGROUPS [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2010
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
openaire   +1 more source

Algebraic Analysis of Multiple Social Networks with multiplex

open access: yesJournal of Statistical Software, 2020
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
doaj   +1 more source

On semigroups of relations with the operation of the rectangular product [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика
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
doaj   +1 more source

Certain Partial Orders on Semigroups [PDF]

open access: yesCzechoslovak Mathematical Journal, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

A natural partial order for semigroups [PDF]

open access: yesProceedings of the American Mathematical Society, 1986
A partial order on a semigroup ( S , ⋅
openaire   +1 more source

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