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Complete intersection augmented algebras

โœ Scribed by S. Zarzuela

Publisher
Springer
Year
1996
Tongue
English
Weight
495 KB
Volume
306
Category
Article
ISSN
0025-5831

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๐Ÿ“œ SIMILAR VOLUMES

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Let A be a ring, and let B be a finite A-algebra. If B is of the form w x ลฝ . A X , . . . , X r f , . . . , f then we say that B is a complete intersection over A.

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Let R be a monomial subalgebra of k x 1 x N generated by square free monomials of degree two. This paper addresses the following question: when is R a complete intersection? For such a k-algebra we can associate a graph G whose vertices are x 1 x N and whose edges are x i x j x i x j โˆˆ R . Convers

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It is shown that the G-dimension and the complete intersection dimension are relative projective dimensions. Relative Auslander-Buchsbaum formulas are discussed. New cohomology theories, called complexity cohomology, are constructed. The new theories play the same role in identifying rings (and modu