Semihereditary polynomial rings
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- by Victor P. Camillo
- Proc. Amer. Math. Soc. 45 (1974), 173-174
- DOI: https://doi.org/10.1090/S0002-9939-1974-0352165-2
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Abstract:
It is shown that if the ring of polynomials over a commutative ring $R$ is semihereditary then $R$ is von Neumann regular. This is the converse of a theorem of P. J. McCarthy.References
- Victor P. Camillo, A note on semi-hereditary rings, Arch. Math. (Basel) 24 (1973), 142–143. MR 318135, DOI 10.1007/BF01228190
- P. J. McCarthy, The ring of polynomial over a von Neumann regular ring, Proc. Amer. Math. Soc. 39 (1973), 253–254. MR 316496, DOI 10.1090/S0002-9939-1973-0316496-3
Bibliographic Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 45 (1974), 173-174
- MSC: Primary 16A30; Secondary 13F20
- DOI: https://doi.org/10.1090/S0002-9939-1974-0352165-2
- MathSciNet review: 0352165