AUTOMORPHISM-COINVARIANT MODULES OVER GENERAL COVERS
Từ khóa:
Dual automorphism-invariant module, − automorphism-coinvariant module, projective covers, general covers.
Tóm tắt
In this paper, we recall concepts of dual automorphism invariant modules, c - cover and c - automorphism-coinvariant modules. Simultaneously, some of their basic properties are discussed. Moreover, it is shown that: If M is a right R - module with an epimorphic c - cover p X M : → , then M is c - automorphism-coinvariant if and only if g p p (ker( ) ker( ) ) = for any automorphism g of X
