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- W2275999724 abstract "We shall introduce the class of strongly cancellative multiplicative monoids which contains the class of all totally ordered cancellative monoids and it is contained in the class of all cancellative monoids. If $G$ is a strongly cancellative monoid such that $hGsubseteq Gh$ for each $hin G$ and if $R$ is a ring such that $aRsubseteq Ra$ for each $ain R$, then the class of all non-singular left $R$-modules is a cover class if and only if the class of all non-singular left $RG$-modules is a cover class. These two conditions are also equivalent whenever we replace the strongly cancellative monoid $G$ by the totally ordered cancellative monoid or by the totally ordered group." @default.
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- W2275999724 date "2008-01-01" @default.
- W2275999724 modified "2023-09-26" @default.
- W2275999724 title "Non-singular covers over monoid rings" @default.
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- W2275999724 doi "https://doi.org/10.21136/mb.2008.133940" @default.
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