Perinormal rings with zero divisors
Copyright policy )Perinormal rings with zero divisors
We extend, to rings with zero divisors, the study of perinormal domains initiated by Epstein and Shapiro. We say that a ring [Formula: see text] is perinormal if whenever a ring [Formula: see text] situated between [Formula: see text] and the total quotient ring of [Formula: see text] satisfies going down over [Formula: see text], it follows that [Formula: see text] is a flat [Formula: see text]-module.
- Government College Women University Sialkot Pakistan
- University of Bucharest Romania
- Government College University, Lahore Pakistan
zero divisor, FOS: Mathematics, Integral dependence in commutative rings; going up, going down, Krull ring, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 13B21, 13F05, Dedekind, Prüfer, Krull and Mori rings and their generalizations, perinormal ring
zero divisor, FOS: Mathematics, Integral dependence in commutative rings; going up, going down, Krull ring, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 13B21, 13F05, Dedekind, Prüfer, Krull and Mori rings and their generalizations, perinormal ring
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