On~LCA groups in which some closed subgroups have commutative rings of continuous endomorphisms
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2007), pp. 83-94
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We describe here the locally compact abelian (LCA) groups all of whose closed polythetic, respectively, copolythetic subgroups have commutative rings of continuous endomorphisms. We also determine the LCA groups all of whose polythetic, respectively, copolythetic quotients by closed subgroups have commutative rings of continuous endomorphisms.
@article{BASM_2007_1_a7,
author = {Valeriu Popa},
title = {On~LCA groups in which some closed subgroups have commutative rings of continuous endomorphisms},
journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
pages = {83--94},
publisher = {mathdoc},
number = {1},
year = {2007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASM_2007_1_a7/}
}
TY - JOUR AU - Valeriu Popa TI - On~LCA groups in which some closed subgroups have commutative rings of continuous endomorphisms JO - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica PY - 2007 SP - 83 EP - 94 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/BASM_2007_1_a7/ LA - en ID - BASM_2007_1_a7 ER -
%0 Journal Article %A Valeriu Popa %T On~LCA groups in which some closed subgroups have commutative rings of continuous endomorphisms %J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica %D 2007 %P 83-94 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/BASM_2007_1_a7/ %G en %F BASM_2007_1_a7
Valeriu Popa. On~LCA groups in which some closed subgroups have commutative rings of continuous endomorphisms. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2007), pp. 83-94. http://geodesic.mathdoc.fr/item/BASM_2007_1_a7/