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ASL structures of some quadrics

2021/04/30 by Saha, Joydip, Sengupta, Indranath
#13F50 #13P10 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2104.14772

Abstract

Let K be a field and X, Y denote matrices such that, the entries of X are either indeterminates over K or 0 and the entries of Y are indeterminates over K which are different from those appearing in X. We consider ideals of the form I1(XY), which is the ideal generated by the 1× 1 minors of the matrix XY. We prove that the quotient ring K[X, Y]/I1(XY) admits an ASL structure for certain X and Y.

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