Azumaya Monads and Comonads

Axioms

Bachuki Mesablishvili¹  Robert Wisbauer² 

[1] A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University, 6, Tamarashvili Str., Tbilisi Centre for Mathematical Sciences, Chavchavadze Ave. 75, 3/35, Tbilisi 0177, Georgia; E-Mail:;Department of Mathematics, Heinrich Heine University, Düsseldorf 40225, Germany

关键词: Azumaya algebras;    category equivalences;    monoidal categories;    (co)monads;   

DOI  :  10.3390/axioms4010032

来源: mdpi

【 摘 要 】

The definition of Azumaya algebras over commutative rings R requires the tensor product of modules over R and the twist map for the tensor product of any two R-modules. Similar constructions are available in braided monoidal categories, and Azumaya algebras were defined in these settings. Here, we introduce Azumaya monads on any categoryadmits equalizers and coequalizers, the notions of left and right Azumaya algebras coincide.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.