A Koszul complex over skew polynomial rings

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.

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Podrobná bibliografia
Vydané v:	Communications in algebra Ročník 47; číslo 7; s. 2904 - 2919
Hlavní autori:	Montaner, Josep Àlvarez, Boix, Alberto F., Zarzuela, Santiago
Médium:	Journal Article Publikácia
Jazyk:	English
Vydavateľské údaje:	Abingdon Taylor & Francis 03.07.2019 Taylor & Francis Ltd
Predmet:	13 Commutative rings and algebras 13A General commutative ring theory 13B Ring extensions and related topics 14 Algebraic geometry 14B Local theory 16 Associative rings and algebras 16S Rings and algebras arising under various constructions Anells (Àlgebra) Cartier algebras Classificació AMS Commutative algebra Frobenius algebras Geometria algebraica Geometry, Algebraic Matemàtiques i estadística Polynomials Primary 13A35 Rings (Algebra) Rings (mathematics) Secondary 13B10 Skew polynomial rings Àlgebra commutativa Àrees temàtiques de la UPC
ISSN:	0092-7872, 1532-4125, 1532-4125
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Popis
Shrnutí:	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.
Bibliografia:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	0092-7872 1532-4125 1532-4125
DOI:	10.1080/00927872.2018.1543424