Modules over semihereditary Bezout rings

Shores, Thomas S.

doi:10.1090/S0002-9939-1974-0349663-4

Modules over semihereditary Bezout rings
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by Thomas S. Shores PDF

Proc. Amer. Math. Soc. 46 (1974), 211-213 Request permission

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.

References

Eléments de mathématique

Algèbre commutative

Modules plats

36

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