We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
THE v-OPERATION IN EXTENSIONS OF INTEGRAL DOMAINS.
- Authors
ANDERSON, DAVID F.; EL BAGHDADI, SAID; ZAFRULLAH, MUHAMMAD; Lam, T. Y.
- Abstract
An extension D ⊆ R of integral domains is strongly t-compatible (respectively, t-compatible) if (IR)-1 = (I-1R)v (respectively, (IR)v = (IvR)v) for every nonzero finitely generated fractional ideal I of D. We show that strongly t-compatible implies t-compatible and give examples to show that the converse does not hold. We also indicate situations where strong t-compatibility and its variants show up naturally. In addition, we study integral domains D such that D ⊆ R is strongly t-compatible (respectively, t-compatible) for every overring R of D.
- Subjects
INTEGRAL domains; IDEALS (Algebra); RING extensions (Algebra); FRACTIONAL integrals; MATHEMATICAL analysis; RING theory
- Publication
Journal of Algebra & Its Applications, 2012, Vol 11, Issue 1, p1250007-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498811005312