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Vietnam
Journal of Mathematics 38:1 (2010) 17-25
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Quasi-duality Property of Generalized
Macaulay-Northcott Modules
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Renyu Zhao
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Abstract. Let R be a ring and (S,  )
a strictly totally ordered monoid which is also artinian and finitely
generated. Then we show that M is
an artinian quasi-duality left R-module
if and only if the module [ ]
consisting of generalized inverse polynomials over M is a quasi-duality left [[ ]]-module.
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2000 Mathematics Subject Classification: 16W60
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Keywords: Quasi-duality module, generalized power
series ring, generalized Macaulay-Northcott module.
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by Vietnam Academy of Science and Technology & Vietnam Mathematical
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Published
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