Sequationally compact S-acts

AuthorsH.Barzegar
JournalJournal of Algebraic Systems
Page number111-125
Serial number2
Volume number5
Paper TypeFull Paper
Published At2017
Journal GradeScientific - research
Journal TypeTypographic
Journal CountryIran, Islamic Republic Of

Abstract

The investigation of equational compactness was ini-
tiated by Banaschewski and Nelson. They proved that pure in-
jectivity is equivalent to equational compactness. Here, we de ne
the so-called sequentially compact acts over semigroups and study
some of their categorical and homological properties. Some Baer
conditions for injectivity are also presented.