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- Title
Transfer of the GPIT Property in Pullbacks.
- Authors
Dobbs, David E.; Shapiro, Jay
- Abstract
Let T be a commutative ring, I a prime ideal of T, D a subring of T/I, and R the pullback T×T/ID. Ascent and descent results are given for the transfer of the n-PIT and GPIT (generalized principal ideal theorem) properties between T and R. As a consequence, it follows that if I is a maximal ideal of both T and R, then R satisfies n-PIT (resp., GPIT) if and only if T satisfies n-PIT (resp., GPIT).
- Subjects
COMMUTATIVE rings; PRIME ideals; GENERALIZATION; TRANSFER (Algebraic topology); IDENTITIES (Mathematics); INTEGERS
- Publication
International Journal of Mathematics & Mathematical Sciences, 2012, p1
- ISSN
0161-1712
- Publication type
Article
- DOI
10.1155/2012/743873