We built some congruences on semigroups, from where a decomposition of quasi-separative semigroups was obtained.

In this paper, a commutative semigroup will be written as a disjoint union of its cancellative subsemigroups. Based on this fact we will define the left regular representation of a commutative separative semigroup and show that this representation is faithful. Finally concrete examples of commutative separative semigroups, their decompositions and their left regular representations are given.

in this paper, a commutative semigroup will be written as a disjoint :union: of its cancellative subsemigroups. based on this fact we will define the left regular representation of a commutative separative semigroup and show that this representation is faithful. finally concrete examples of commutative separative semigroups, their decompositions and their left regular representations are given.

In this paper we introduce the notion of unit-regular ideals for unital rings, which is a natural generalization of unit-regular rings. It is shown that every square matrix over unit-regular ideals admits a diagonal reduction. We also prove that a regular ideal of a unital ring is unit-regular if and only if pseudo-similarity via the ideal is similarity. Let I be an ideal of a unital ring R. We...

The separative and analytical power of ion mobility spectrometry-mass spectrometry combined with photo-induced cross-linking of site-specifically incorporated trifluoromethyldiazirine provides a powerful approach towards structural characterisation of amyloid fibrils.

Lignin, a biomass material, is employed as the effective material for building up separative layer of thin-film composite membranes pervaporation desalination.

Industrial manufacturing of injectable drug products presents very different and difficult challenges when compared to other industrial manufacturing applications. In order to enhance patient safety and ensure product quality the Pharmaceutical Industry has been implementing systems called Advanced Aseptic Processing (AAP) systems. Advanced Aseptic Processing systems utilize advanced forms of a...