Transfer of the GPIT Property in Pullbacks | Zendy

David E. Dobbs | Zendy; Jay Shapiro | Zendy

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Transfer of the GPIT Property in Pullbacks

Author(s) -

David E. Dobbs,

Jay Shapiro

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/743873

Subject(s) - mathematics , scalable vector graphics , font , matrix (chemical analysis) , combinatorics , computer science , materials science , artificial intelligence , composite material , world wide web

Let be a commutative ring, a prime ideal of , a subring of /, and the pullback ×/. Ascent and descent results are given for the transfer of the -PIT and GPIT (generalized principal ideal theorem) properties between and . As a consequence, it follows that if is a maximal ideal of both and , then satisfies -PIT (resp., GPIT) if and only if satisfies -PIT (resp., GPIT)

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