Polyserial modules over valuation domains
L. Fuchs, L. Salce (1988)
Rendiconti del Seminario Matematico della Università di Padova
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L. Fuchs, L. Salce (1988)
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In this article, we formalize some basic facts of Z-module. In the first section, we discuss the rank of submodule of Z-module and its properties. Especially, we formally prove that the rank of any Z-module is equal to or more than that of its submodules, and vice versa, and that there exists a submodule with any given rank that satisfies the above condition. In the next section, we mention basic facts of linear transformations between two Z-modules. In this section, we define homomorphism...
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