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math.RA2019
Point modules over regular graded skew Clifford algebras
Michaela Vancliff, Padmini Veerapen
Results of Vancliff, Van Rompay and Willaert in 1998 prove that point modules over a regular graded Clifford algebra (GCA) are determined by (commutative) quadrics of rank at most…
math.RA2019
Generalizing the notion of rank to noncommutative quadratic forms
Michaela Vancliff, Padmini Veerapen
In 2010, Cassidy and Vancliff extended the notion of a quadratic form on n generators to the noncommutative setting. In this article, we suggest a notion of rank for such noncommut…
math.RA2019
A notion of rank for noncommutative quadratic forms on four generators
Padmini Veerapen, Jessica Cain, Leah Frauendienst
In this paper, we extend previous work, where a notion of rank, called mu-rank, was proposed for noncommutative quadratic forms on two and three generators. In particular, we provi…