Almost Gorenstein rings arising from fiber products

Naoki Endo, Shiro Goto, Ryotaro Isobe

Research output: Contribution to journalArticlepeer-review

Abstract

The purpose of this paper is, as part of the stratification of Cohen-Macaulay rings, to investigate the question of when the fiber products are almost Gorenstein rings. We show that the fiber product of Cohen-Macaulay local rings R, S of the same dimension 0$ ]]> over a regular local ring T with is an almost Gorenstein ring if and only if so are R and S. In addition, the other generalizations of Gorenstein properties are also explored.

Original languageEnglish
Pages (from-to)383-400
Number of pages18
JournalCanadian Mathematical Bulletin
Volume64
Issue number2
DOIs
Publication statusPublished - Jun 2021

Keywords

  • AMS subject classification 13H10 13H15 18A30

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