Open Access
2018 On a connection between local rings and their associated graded algebras
Justin Hoffmeier, Jiyoon Lee
Involve 11(2): 355-359 (2018). DOI: 10.2140/involve.2018.11.355

Abstract

We study a class of local rings and a local adaptation of the homogeneous property for graded rings. While the rings of interest satisfy the property in the local case, we show that their associated graded k-algebras do not satisfy the property in the graded case.

Citation

Download Citation

Justin Hoffmeier. Jiyoon Lee. "On a connection between local rings and their associated graded algebras." Involve 11 (2) 355 - 359, 2018. https://doi.org/10.2140/involve.2018.11.355

Information

Received: 19 May 2017; Revised: 5 July 2017; Accepted: 17 July 2017; Published: 2018
First available in Project Euclid: 20 December 2017

zbMATH: 06817026
MathSciNet: MR3733963
Digital Object Identifier: 10.2140/involve.2018.11.355

Subjects:
Primary: 13A02

Keywords: associated graded , graded algebra

Rights: Copyright © 2018 Mathematical Sciences Publishers

Vol.11 • No. 2 • 2018
MSP
Back to Top