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HOMOGENEOUS PBW DEFORMATION FOR ARTIN–SCHELTER REGULAR ALGEBRAS

Part of: Rings and algebras with additional structure Algebraic geometry: Foundations Homological methods

Published online by Cambridge University Press:  12 September 2014

Y. SHEN ,
G.-S. ZHOU  and
D.-M. LU
Y. SHEN
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou 310027, China email 11206007@zju.edu.cn
G.-S. ZHOU*
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou 310027, China email 10906045@zju.edu.cn
D.-M. LU
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou 310027, China email dmlu@zju.edu.cn
*
✉10906045@zju.edu.cn
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Abstract

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We introduce a method named homogeneous PBW deformation that preserves the regularity and some other homological properties for multigraded algebras. The method is used to produce Artin–Schelter regular algebras without the hypothesis on grading.

Keywords

Artin–Schelter regular algebrahomogeneous PBW deformationGröbner basis

MSC classification

Primary: 16E65: Homological conditions on rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.)
Secondary: 16W50: Graded rings and modules 14A22: Noncommutative algebraic geometry

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 91 , Issue 1 , February 2015 , pp. 53 - 68
Copyright
Copyright © 2014 Australian Mathematical Publishing Association Inc. 

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