On torsionfree~LCA groups with commutative rings of continuous endomorphisms
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2007), pp. 81-100
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Let $\mathcal L$ be the class of locally compact abelian (LCA) groups. For certain subclasses $\mathcal S$ of $\mathcal L$, we obtain information about the groups $X\in\mathcal S$ such that the ring $E(X)$ of continuous endomorphisms of $X$ is commutative. The main results concern torsionfree groups, groups with splitting torsion subgroups and their duals.
@article{BASM_2007_2_a7,
author = {Valeriu Popa},
title = {On {torsionfree~LCA} groups with commutative rings of continuous endomorphisms},
journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
pages = {81--100},
publisher = {mathdoc},
number = {2},
year = {2007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASM_2007_2_a7/}
}
TY - JOUR AU - Valeriu Popa TI - On torsionfree~LCA groups with commutative rings of continuous endomorphisms JO - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica PY - 2007 SP - 81 EP - 100 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BASM_2007_2_a7/ LA - en ID - BASM_2007_2_a7 ER -
Valeriu Popa. On torsionfree~LCA groups with commutative rings of continuous endomorphisms. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2007), pp. 81-100. http://geodesic.mathdoc.fr/item/BASM_2007_2_a7/