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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Unique factorization in graded power series rings


Author: Peter S. Landweber
Journal: Proc. Amer. Math. Soc. 42 (1974), 73-76
MSC: Primary 13F15; Secondary 13J05
DOI: https://doi.org/10.1090/S0002-9939-1974-0330151-6
MathSciNet review: 0330151
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Abstract: It is shown that the graded ring $ R[{x_1},{x_2}, \cdots ][[t]]$ of homogeneous power series is a graded UFD if R is a regular UFD, the degrees of the $ {x_i}$ are positive and tend to $ \infty $, and t has degree $ - 1$. In particular this applies to $ M{U^ \ast }(C{P^\infty })$ and $ B{P^ \ast }(C{P^\infty })$.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0330151-6
Keywords: Unique factorization domain, graded ring, homogeneous power series
Article copyright: © Copyright 1974 American Mathematical Society