Journal of Commutative Algebra

Semidualizing modules and rings of invariants

William Sanders

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Abstract

We show there exist no nontrivial semidualizing modules for nonmodular rings of invariants of order $p^n$ with $p$ a prime.

Article information

Source
J. Commut. Algebra, Volume 7, Number 3 (2015), 411-422.

Dates
First available in Project Euclid: 14 December 2015

Permanent link to this document
https://projecteuclid.org/euclid.jca/1450102163

Digital Object Identifier
doi:10.1216/JCA-2015-7-3-411

Mathematical Reviews number (MathSciNet)
MR3433990

Zentralblatt MATH identifier
1346.13010

Subjects
Primary: 13A50: Actions of groups on commutative rings; invariant theory [See also 14L24] 13C13: Other special types

Keywords
Invariant theory semidualizing module rational singularity

Citation

Sanders, William. Semidualizing modules and rings of invariants. J. Commut. Algebra 7 (2015), no. 3, 411--422. doi:10.1216/JCA-2015-7-3-411. https://projecteuclid.org/euclid.jca/1450102163


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