Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Algebra
Point Modules And Line Modules Of Certain Quadratic Quantum Projective Spaces, Jose E. Lozano
Point Modules And Line Modules Of Certain Quadratic Quantum Projective Spaces, Jose E. Lozano
Mathematics Dissertations
During the past 36 years, some research in noncommutative algebra has been driven by attempts to classify AS-regular algebras of global dimension four. Such algebras are often considered to be noncommutative analogues of polynomial rings. In the 1980s, Artin, Tate, and Van den Bergh introduced a projective scheme that parametrizes the point modules over a graded algebra generated by elements of degree one. In 2002, Shelton and Vancliff introduced the concept of line scheme, which is a projective scheme that parametrizes line modules.
This dissertation is in two parts. In the first part, we consider a 1-parameter family of quadratic …