A Koszul complex over skew polynomial rings

Josep Àlvarez Montaner; Alberto F. Boix; Santiago Zarzuela

doi:10.1080/00927872.2018.1543424

A Koszul complex over skew polynomial rings

Josep Àlvarez Montaner, Alberto F. Boix, Santiago Zarzuela

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We construct a Koszul complex in the category of left skew polynomial rings associated with a flat endomorphism that provides a finite free resolution of an ideal generated by a Koszul regular sequence.

Original language	English
Pages (from-to)	2904-2919
Number of pages	16
Journal	Communications in Algebra
Volume	47
Issue number	7
DOIs	https://doi.org/10.1080/00927872.2018.1543424
State	Published - 3 Jul 2019

Keywords

Cartier algebras
Frobenius algebras
skew polynomial rings

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2018.1543424

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title = "A Koszul complex over skew polynomial rings",

abstract = "We construct a Koszul complex in the category of left skew polynomial rings associated with a flat endomorphism that provides a finite free resolution of an ideal generated by a Koszul regular sequence.",

keywords = "Cartier algebras, Frobenius algebras, skew polynomial rings",

author = "Montaner, {Josep {\`A}lvarez} and Boix, {Alberto F.} and Santiago Zarzuela",

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year = "2019",

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doi = "10.1080/00927872.2018.1543424",

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T1 - A Koszul complex over skew polynomial rings

AU - Montaner, Josep Àlvarez

AU - Boix, Alberto F.

AU - Zarzuela, Santiago

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Y1 - 2019/7/3

N2 - We construct a Koszul complex in the category of left skew polynomial rings associated with a flat endomorphism that provides a finite free resolution of an ideal generated by a Koszul regular sequence.

AB - We construct a Koszul complex in the category of left skew polynomial rings associated with a flat endomorphism that provides a finite free resolution of an ideal generated by a Koszul regular sequence.

KW - Cartier algebras

KW - Frobenius algebras

KW - skew polynomial rings

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U2 - 10.1080/00927872.2018.1543424

DO - 10.1080/00927872.2018.1543424

M3 - Article

AN - SCOPUS:85061916585

SN - 0092-7872

VL - 47

SP - 2904

EP - 2919

JO - Communications in Algebra

JF - Communications in Algebra

IS - 7

ER -

A Koszul complex over skew polynomial rings

Abstract

Keywords

ASJC Scopus subject areas

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