The Journal of the Indian Mathematical Society

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The Ring of Endomorphisms for which every Subgroup of an Abelian Group is Invariant


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1 Calcutta, India
     

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Given an additive Abelian group A, the invariance of a subgroup B of A for an endomorphism a of A is a dyadic relation apB between endomorphisms and subgroups of A. From every dyadic relation, two reciprocal lattices of "closed" sets are derived*.
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  • The Ring of Endomorphisms for which every Subgroup of an Abelian Group is Invariant

Abstract Views: 157  |  PDF Views: 0

Authors

F. W. Levi
Calcutta, India

Abstract


Given an additive Abelian group A, the invariance of a subgroup B of A for an endomorphism a of A is a dyadic relation apB between endomorphisms and subgroups of A. From every dyadic relation, two reciprocal lattices of "closed" sets are derived*.