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When Maximal Linearly Independent Subsets of a Free Module Have the Same Cardinality?

  • Kourki F
Birkhäuser Basel, (2008), 281-293
DOI: 10.1007/978-3-7643-8742-6_18
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Abstract

We call a ring R right Lazarus if any two maximal linearly indepen-dent subsets of a free right R-module have the same cardinality. We study these rings via weakly right semi-Steinitz rings. As application, several classes of right Lazarus rings are given.

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Kourki, F. (2008). When Maximal Linearly Independent Subsets of a Free Module Have the Same Cardinality? In Modules and Comodules (pp. 281–293). Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8742-6_18

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