Modules over semihereditary Bezout rings
Author:
Thomas S. Shores
Journal:
Proc. Amer. Math. Soc. 46 (1974), 211-213
MSC:
Primary 13F10
DOI:
https://doi.org/10.1090/S0002-9939-1974-0349663-4
MathSciNet review:
0349663
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Abstract | References | Similar Articles | Additional Information
Abstract: It is shown that every commutative semihereditary Bezout ring of Krull dimension at most one is an elementary divisor ring. A consequence is that the ring of polynomials in one indeterminate over a von Neumann regular ring is an elementary divisor ring.
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Additional Information
Keywords:
Commutative von Neumann regular ring,
polynomial ring,
semihereditary ring,
Hermite ring,
Bezout ring,
elementary divisor ring
Article copyright:
© Copyright 1974
American Mathematical Society
