Forcing Linearity Numbers for Modules over PID's |
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| Authors: | A. Kreuzer C. J. Maxson |
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| Affiliation: | (1) Mathematisches Seminar, Universität Hamburg, Bundesstrasse 55, D-20146 Hamburg, Germany. E-mail;(2) Department of Mathematics, Texas A&M University, College Station, TX, 77843-3368, U.S.A. |
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| Abstract: | Let V be a module over a principal ideal domain. Then V = M  N where M is divisible and N has no nonzero divisible submodules. In this paper we determine the forcing linearity number for V when N is a direct sum of cyclic modules. As a consequence, the forcing linearity numbers of several classes of Abelian groups are obtained. |
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| Keywords: | forcing linearity numbers modules over principal ideal domains |
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