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Levels of cancellation for monoids and modules
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Paper
Levels of cancellation for monoids and modules
2024
Overview
Levels of cancellativity in commutative monoids \\(M\\), determined by stable rank values in \\(Z_> 0 \\ınfty\\\) for elements of \\(M\\), are investigated. The behavior of the stable ranks of multiples \\(ka\\), for \\(k ın Z_> 0\\) and \\(a ın M\\), is determined. In the case of a refinement monoid \\(M\\), the possible stable rank values in archimedean components of \\(M\\) are pinned down. Finally, stable rank in monoids built from isomorphism or other equivalence classes of modules over a ring is discussed.
Publisher
Cornell University Library, arXiv.org
Subject
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