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Quasi-unmixedness and integral closure of Rees rings

1976
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Proceedings of the American Mathematical Society
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For certain Rees rings 91 of a local domain R, the quasiunmixedness of R is characterized in terms of a certain transform of 9t being contained in the integral closure of 9L 1. Introduction. In this paper, a ring shall be a commutative ring with identity. The terminology is basically that of [2] and [12]. Relations between quasi-unmixedness and integral extensions are well known (e.g., [1], [5] and [7]). Also, the study of properties of a ring R via transition to a Rees ring 91 = 9l(R,A) of R

doi:10.1090/s0002-9939-1976-0399073-0
fatcat:hkvt7enjw5cu5h3a5l6tuta7xa