Results 41 to 50 of about 135 (132)

The natural partial order on a regular semigroup [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 1980
It is well-known that on an inverse semigroup S the relation ≦ defined by a ≦ b if and only if aa−1 = ab−1 is a partial order (called the natural partial order) on S and that this relation is closely related to the global structure of S (cf. (1, §7.1), (10)).
openaire   +2 more sources

Ordered $*$-Semigroups and a $C^*$-Correspondence for a Partial Isometry

open access: yes, 2013
Certain $*$-semigroups are associated with the universal $C^*$-algebra generated by a partial isometry, which is itself the universal $C^*$-algebra of a $*$-semigroup. A fundamental role for a $*$-structure on a semigroup is emphasized, and ordered and matricially ordered $*$-semigroups are introduced, along with their universal $C^*$-algebras.
openaire   +4 more sources

Fuzzy bipolar soft semiprime ideals in ordered semigroups. [PDF]

open access: yesHeliyon, 2021
Aziz-Ul-Hakim, Khan H, Ahmad I, Khan A.
europepmc   +1 more source

The natural partial order on an abundant semigroup [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 1987
In this paper we will study the properties of a natural partial order which may bedefined on an arbitrary abundant semigroup: in the case of regular semigroups werecapture the order introduced by Nambooripad [24]. For abelian PP rings our order coincides with a relation introduced by Sussman [25], Abian [1, 2] and further studied by Chacron [7 ...
openaire   +1 more source

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