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Differential graded algebra over quotients of skew polynomial rings by normal elements
Luigi Ferraro, W. Frank Moore
Differential graded algebra techniques have played a crucial role in the development of homological algebra, especially in the study of homological properties of commutative rings…
Three infinite families of reflection Hopf algebras
Luigi Ferraro, Ellen Kirkman, W. Frank Moore +1
Let be a semisimple Hopf algebra acting on an Artin-Schelter regular algebra , homogeneously, inner-faithfully, preserving the grading on , and so that is an -modu…
Noncommutative Knörrer periodicity and noncommutative Kleinian singularities
Andrew Conner, Ellen Kirkman, W. Frank Moore +1
We establish a version of Knörrer's Periodicity Theorem in the context of noncommutative invariant theory. Namely, let be a left noetherian AS-regular algebra, let be a nor…
Finiteness conditions on the Yoneda algebra of a monomial algebra
Andrew Conner, Ellen Kirkman, James Kuzmanovich +1
Let A be a connected graded noncommutative monomial algebra. We associate to A a finite graph Γ(A) called the CPS graph of A. Finiteness properties of the Yoneda algebra Ext_A(k,k)…