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• W2017377325 abstract "Let M be a right R-module, (S, <TEX>${leq}$</TEX>) a strictly totally ordered monoid which is also artinian and <TEX>${omega}:S{rightarrow}Aut(R)$</TEX> a monoid homomorphism, and let <TEX>$[M^{S,{leq}}]_{[[R^{S,{leq}},{omega}]]$</TEX> denote the generalized inverse polynomial module over the skew generalized power series ring [[<TEX>$R^{S,{leq}},{omega}$</TEX>]]. In this paper, we prove that <TEX>$[M^{S,{leq}}]_{[[R^{S,{leq}},{omega}]]$</TEX> has the same uniform dimension as its coefficient module <TEX>$M_R$</TEX>, and that if, in addition, R is a right perfect ring and S is a chain monoid, then <TEX>$[M^{S,{leq}}]_{[[R^{S,{leq}},{omega}]]$</TEX> has the same couniform dimension as its coefficient module <TEX>$M_R$</TEX>." @default.
• W2017377325 created "2016-06-24" @default.
• W2017377325 creator A5028804471 @default.
• W2017377325 date "2012-09-30" @default.
• W2017377325 modified "2023-10-01" @default.
• W2017377325 title "UNIFORM AND COUNIFORM DIMENSION OF GENERALIZED INVERSE POLYNOMIAL MODULES" @default.
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• W2017377325 doi "https://doi.org/10.4134/bkms.2012.49.5.1067" @default.
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