SEPUTAR MODUL AUTO INVARIAN
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Abstract
A module M is called auto invariant module if M is invariant under any automorphism of its injective envelope, i.e (M) E(M) for every AutR(E(M)). Based on definition, for any pseudo-injective module is auto invariant module. Module M is auto invariant module if and only if for any isomorphism between two essential submodules of M extends to automorphism of M. In this article is discussed about some properties of auto invariant modules such as submodules and decomposition of auto invariant module. The main result are auto invariant modules are coincide with pseudoinjective module and find out sufficient condition of auto invariant modules are quasi-injective modules.
Keywords : injective modules, auto invariant modules, essential submodules.
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