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- W2103155026 abstract "Results of Davis on normal pairs (R, T) of domains are generalized to (commutative) rings with nontrivial zero-divisors, particularly complemented rings. For instance, if T is a ring extension of an almost quasilocal complemented ring R, then (R, T) is a normal pair if and only if there is a prime ideal P of R such that T = R [P] , R/P is a valuation domain and PT = P. Examples include sufficient conditions for the normal pair property to be stable under formation of infinite products and ⋈ constructions." @default.
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- W2103155026 date "2011-04-01" @default.
- W2103155026 modified "2023-10-14" @default.
- W2103155026 title "NORMAL PAIRS WITH ZERO-DIVISORS" @default.
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- W2103155026 doi "https://doi.org/10.1142/s0219498811004628" @default.
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