Unique factorization in graded power series rings
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- by Peter S. Landweber PDF
- Proc. Amer. Math. Soc. 42 (1974), 73-76 Request permission
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 $B{P^ \ast }(C{P^\infty })$.References
- David A. Buchsbaum, Some remarks on factorization in power series rings, J. Math. Mech. 10 (1961), 749–753. MR 0124352
- Tammo tom Dieck, Actions of finite abelian $p$-groups without stationary points, Topology 9 (1970), 359–366. MR 285029, DOI 10.1016/0040-9383(70)90059-5
- Tammo tom Dieck, Kobordismentheorie klassifizierender Räume und Transformationsgruppen, Math. Z. 126 (1972), 31–39 (German). MR 298695, DOI 10.1007/BF01580352
- Irving Kaplansky, Commutative rings, Allyn and Bacon, Inc., Boston, Mass., 1970. MR 0254021
- P. Samuel, Lectures on unique factorization domains, Tata Institute of Fundamental Research Lectures on Mathematics, No. 30, Tata Institute of Fundamental Research, Bombay, 1964. Notes by M. Pavman Murthy. MR 0214579
Additional Information
- © Copyright 1974 American Mathematical Society
- 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