Authors | H.Barzegar |
---|---|
Journal | European journal of pure and applied mathematics |
Page number | 211-221 |
Serial number | 2 |
Volume number | 6 |
Paper Type | Original Research |
Published At | 2013 |
Journal Grade | Scientific - research |
Journal Type | Typographic |
Journal Country | United Kingdom |
Abstract
Although the Baer Criterion for injectivity is true for modules over a ring with an identity, it is an open
problem for acts over a semigroup S (with or without identity). In this work, we study a kind of Baer
Criterion for injectivity of acts over a semigroup S. We consider a kind of weak injectivity which we
call s -completeness and give some conditions under which s-completeness coincides with injectivity