On the Notion of Complete Intersection Outside the Setting of Skew Polynomial Rings

DOI10.1080/00927872.2013.776067zbMath1315.16023arXiv1108.1850OpenAlexW2065619061MaRDI QIDQ5245142

Michaela Vancliff

Publication date: 2 April 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1850

zbMATH Keywords

skew polynomial ringscomplete intersectionsClifford algebrasquadricsbase pointsGorenstein regular algebras

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Ordinary and skew polynomial rings and semigroup rings (16S36) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Universal enveloping (super)algebras (17B35) Complete intersections (14M10) Clifford algebras, spinors (15A66) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (1)

Corrigendum: Generalizations of graded Clifford algebras and of complete intersections

Cites Work

• Unnamed Item
• Modules over regular algebras of dimension 3
• Quadratic algebras associated with the union of a quadric and a line in \(\mathbb{P}^ 3\)
• Noncommutative projective schemes
• Noncommutative complete intersections
• The quantum coordinate ring of the special linear group
• Classifying quadratic quantum \(\mathbb P^2\)s by using graded skew Clifford algebras.
• Corrigendum: Generalizations of graded Clifford algebras and of complete intersections
• Generalizations of graded Clifford algebras and of complete intersections
• Some properties of non-commutative regular graded rings
• Affine algebras of Gelfand-Kirillov dimension one are PI
• Introduction to quantum groups
• On Koszul algebras and a new construction of Artin-Schelter regular algebras

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