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An infinite class of generic local algebras

โœ Scribed by M. Schaps


Publisher
Springer
Year
1993
Tongue
English
Weight
414 KB
Volume
61
Category
Article
ISSN
0003-889X

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A gcntraiized Room sq~re C of otdelr n and degree k is an (L':) x (",I'} array, each ce!P of which -is either empty or contains an unotdered k-tuple of a set k , ISI = n, such that each row and each alumn of the array rzntains each element of S exactly one ar,d 9 contains each unordered k-tulple of

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Let K be a skew field and A = K @ A1 @ . . . a graded Kalgebra (both of them not necessarily commutative). We call A homogeneous (or standard) if it is generated by Al as a Kalgebra. A homogeneous Kalgebra A is Koszul if there exists a linear free resolution of the residue field K Y A/A+ as an A-mo