Name: REFLEXIVITY AND CONNECTEDNESS
Creator: Sean Sather-Wagstaff
Keywords: FOS: Mathematics, 13D02, 13D07, 13D09, 13G05, 0101 mathematics, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 16. Peace & justice, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 22 Dec 2014Embargo end date: 01 Jan 2012 English Publisher:Cambridge University Press (CUP)Journal:Glasgow Mathematical Journal, volume 57, pages 231-240 (issn: 0017-0895, eissn: 1469-509X,

Authors: Sean Sather-Wagstaff;

doi: 10.1017/s0017089514000354 , 10.48550/arxiv.1212.0131

arXiv: http://arxiv.org/abs/1212.0131

REFLEXIVITY AND CONNECTEDNESS

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Abstract

AbstractGiven a finitely generated module over a commutative noetherian ring that satisfies certain reflexivity conditions, we show how failure of the semidualizing property for the module manifests in a disconnection of the prime spectrum of the ring.

Related Organizations

North Dakota State University
United States

Keywords

FOS: Mathematics, 13D02, 13D07, 13D09, 13G05, Mathematics - Commutative Algebra, Commutative Algebra (math.AC)

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