The Algebra & Number Theory Seminar meets Wednesdays at 3:00 pm during the semester. Talks will be given online via Zoom or in person; please check the specific week's talk. If you would like to give a talk in the seminar please contact Lars Winther Christensen at lars.w.christensen@ttu.edu
Regular sequences are a fundamental tool in commutative algebra. In
this talk, we introduce a notion of regular sequences in \(R\)-linear
triangulated categories, where \(R\) is a graded-commutative ring acting
centrally. As applications of this definition, we show that the length
of a regular sequence provides lower bounds on levels and on the
Rouquier dimension. This is joint work with Janina C. Letz and Marc
Stephan.