An endomorphisms ϕ of an abelian group A is said inertial if each subgroup H of A has finite index in H + ϕ(H). We study the ring of inertial endomorphisms of an abelian group. We obtain a satisfactory description modulo the ideal of finitary endomorphisms. Also the corresponding problem for vector spaces is considered.
On the ring of inertial endomorphisms of an abelian group / Dardano, Ulderico; Silvana, Rinauro. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - 63:Issue 1 (2014),(2014), pp. 103-115. [10.1007/s11587-014-0199-3]
On the ring of inertial endomorphisms of an abelian group
DARDANO, ULDERICO
;
2014
Abstract
An endomorphisms ϕ of an abelian group A is said inertial if each subgroup H of A has finite index in H + ϕ(H). We study the ring of inertial endomorphisms of an abelian group. We obtain a satisfactory description modulo the ideal of finitary endomorphisms. Also the corresponding problem for vector spaces is considered.File in questo prodotto:
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