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Semihereditary Polynomial Rings
Journal article   Open access   Peer reviewed

Semihereditary Polynomial Rings

Victor P. Camillo
Proceedings of the American Mathematical Society, Vol.45(2), pp.173-174
08/01/1974
DOI: 10.1090/S0002-9939-1974-0352165-2
url
https://doi.org/10.1090/S0002-9939-1974-0352165-2View
Published (Version of record) Open Access

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.
Polynomials Coefficients Mathematical lattices Mathematical rings Mathematical theorems

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