On Butler -groups decomposing over two base elements
Clorinda de Vivo; Claudia Metelli
Commentationes Mathematicae Universitatis Carolinae (2009)
- Volume: 50, Issue: 2, page 165-179
- ISSN: 0010-2628
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topde Vivo, Clorinda, and Metelli, Claudia. "On Butler $B(2)$-groups decomposing over two base elements." Commentationes Mathematicae Universitatis Carolinae 50.2 (2009): 165-179. <http://eudml.org/doc/32491>.
@article{deVivo2009,
abstract = {A $B(2)$-group is a sum of a finite number of torsionfree Abelian groups of rank $1$, subject to two independent linear relations. We complete here the study of direct decompositions over two base elements, determining the cases where the relations play an essential role.},
author = {de Vivo, Clorinda, Metelli, Claudia},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Abelian group; torsionfree; finite rank; Butler group; $B(1)$-group; $B(2)$-group; type; tent; base change; direct decomposition; typeset; torsionfree finite rank Abelian groups; Butler groups; -groups; -groups; types; tents; base changes; direct decompositions; typesets},
language = {eng},
number = {2},
pages = {165-179},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On Butler $B(2)$-groups decomposing over two base elements},
url = {http://eudml.org/doc/32491},
volume = {50},
year = {2009},
}
TY - JOUR
AU - de Vivo, Clorinda
AU - Metelli, Claudia
TI - On Butler $B(2)$-groups decomposing over two base elements
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2009
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 50
IS - 2
SP - 165
EP - 179
AB - A $B(2)$-group is a sum of a finite number of torsionfree Abelian groups of rank $1$, subject to two independent linear relations. We complete here the study of direct decompositions over two base elements, determining the cases where the relations play an essential role.
LA - eng
KW - Abelian group; torsionfree; finite rank; Butler group; $B(1)$-group; $B(2)$-group; type; tent; base change; direct decomposition; typeset; torsionfree finite rank Abelian groups; Butler groups; -groups; -groups; types; tents; base changes; direct decompositions; typesets
UR - http://eudml.org/doc/32491
ER -
References
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- De Vivo C., Metelli C., On degenerate -groups, Houston J. Math. 32 (2006), no. 3, 633--649. MR2247900
- De Vivo C., Metelli C., 10.4064/cm109-2-11, Colloq. Math. 109 (2007), no. 2, 297--305. Zbl1123.20044MR2318525DOI10.4064/cm109-2-11
- De Vivo C., Metelli C., 10.1016/j.jalgebra.2007.07.024, J. Algebra 318 (2007), no. 1, 456--483. Zbl1141.20032MR2363144DOI10.1016/j.jalgebra.2007.07.024
- De Vivo C., Metelli C., On direct decompositions of Butler -groups, Contributions to Module Theory, W. de Gruyter, 2007, pp. 1--18. Zbl1191.20059
- De Vivo C., Metelli C., The typeset of a -group, to appear.
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