Previous |  Up |  Next

Article

Title: On Butler $B(2)$-groups decomposing over two base elements (English)
Author: De Vivo, Clorinda
Author: Metelli, Claudia
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 50
Issue: 2
Year: 2009
Pages: 165-179
Summary lang: English
.
Category: math
.
Summary: 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. (English)
Keyword: Abelian group
Keyword: torsionfree
Keyword: finite rank
Keyword: Butler group
Keyword: $B(1)$-group
Keyword: $B(2)$-group
Keyword: type
Keyword: tent
Keyword: base change
Keyword: direct decomposition
Keyword: typeset
MSC: 06B99
MSC: 06F99
MSC: 20K15
idZBL: Zbl 1204.20071
idMR: MR2537829
.
Date available: 2009-08-18T12:24:20Z
Last updated: 2013-09-22
Stable URL: http://hdl.handle.net/10338.dmlcz/133426
.
Reference: [F II] Fuchs L.: Infinite Abelian Groups.Vol.II, Academic Press, London-New York, 1973. Zbl 0338.20063, MR 0349869
Reference: [A] Arnold D.M.: Abelian Groups and Representations of Finite Partially Ordered Sets.CMS books in Mathematics, 2, Springer, New York, 2000. Zbl 0959.16011, MR 1764257
Reference: [AV] Arnold D.M., Vinsonhaler C.: Finite rank Butler groups: A survey of recent results.Abelian Groups (Curacao, 1991), Lecture Notes in Pure and Applied Math., 146, Marcel Dekker, 1993, pp. 17--41. Zbl 0804.20043, MR 1217256
Reference: [VWW] Vinsonhaler C., Wallutis S.L., Wickless W.J.: A class of $B(2)$-groups.Comm. Algebra 33 (2005), no. 6, 2025--2037. Zbl 1077.20062, MR 2150857, 10.1081/AGB-200063348
Reference: [DVM 4] De Vivo C., Metelli C.: Decomposing $B(1)$-groups: an algorithm.Comm. Algebra 30 (2002), no. 12, 5621--5637. Zbl 1019.20021, MR 1941915, 10.1081/AGB-120015998
Reference: [DVM 8] De Vivo C., Metelli C.: On degenerate $B(2)$-groups.Houston J. Math. 32 (2006), no. 3, 633--649. MR 2247900
Reference: [DVM 10] De Vivo C., Metelli C.: Butler groups splitting over a base element.Colloq. Math. 109 (2007), no. 2, 297--305. Zbl 1123.20044, MR 2318525, 10.4064/cm109-2-11
Reference: [DVM 11] De Vivo C., Metelli C.: Settings for a study of finite rank Butler groups.J. Algebra 318 (2007), no. 1, 456--483. Zbl 1141.20032, MR 2363144, 10.1016/j.jalgebra.2007.07.024
Reference: [DVM 12] De Vivo C., Metelli C.: On direct decompositions of Butler $B(2)$-groups.Contributions to Module Theory, W. de Gruyter, 2007, pp. 1--18. Zbl 1191.20059
Reference: [DVM 14] De Vivo C., Metelli C.: The typeset of a $B(2)$-group.to appear.
.

Files

Files Size Format View
CommentatMathUnivCarolRetro_50-2009-2_1.pdf 276.8Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo