Abstract
Igusa and Todorov introduced the function which generalizes the notion of projective dimension. We study the behavior of the function for cyclic Nakayama algebras of infinite global dimension. We prove that the supremum of values of is always an even number. In particular, we show that the -dimension is 2 if and only if the algebra satisfies certain symmetry conditions. Also, we give a sharp upper bound for -dimension in terms of the number of monomial relations which describes the algebra.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
