Document Type: Research Note

Author

Department of Mathematics, University of Tafresh , 3951879611, Tafresh, Iran.

Abstract

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

Keywords