Abstract
Let k be a field and H 4 be Sweedler's 4-dimensional algebra over k. It is well known that H 4 has a family of triangular structures R t indexed by the ground field k and each triangular structure R t makes the H 4 -module category M H 4 a braided monoidal category, denoted M R t H 4 . In this paper, we study the Azumaya algebras in the categories M R t H 4 . We obtain the structure theorems for Azumaya algebras in each braided monoidal category M R t H 4 , t ∈ k . Utilizing the structure theorems we obtain a scalar invariant for each Azumaya algebra in the aforementioned categories.
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.
