Let A and B be associative rings with unit, Mod-A and Mod-B categories of unital right A-
modules and unital right B-modules respectively. For an AB-bimodule* UB, we consider two …

Let A be a ring and MA the category of right A-modules. It is well known in module theory
that any A-bimodule B is an A-ring if and only if the functor−⊗ AB: MA→ MA is a monad (or …

Let k be a commutative ring. If B is a k-bialgebra then the category B-Mod of left B-modules
is a monoidal category with the tensor-product M ek N of two B-modules made again into a B …

For an associative ring R, let P be an R-module with S= EndR (P). C. Menini and A. Orsatti
posed the question of when the related functor HomR (P,−)(with left adjoint P⊗ S−) induces …

Notes on operator categories Page 1 J. Math. Soc. Japan Vol. 59, No. 2 (2007) pp. 541–555
Notes on operator categories By Shigeru Yamagami (Received Jan. 27, 2006) (Revised …

Let Mod-S denote the category of S-modules, where S is a small pre-additive category.
Using the notion of relative derived categories of functor categories, we generalize Rickard's …

Introduction. The notion of an additive category was abstracted from the example of all
modules over a ring, a very large category. However with tongue firmly in cheek, one can …

Dualities between categories of topological modules Page 1 COMMUNICATIONS IN ALGEBRA,
11 (I), 21-66 (1983) DUALITIES BETWEEN CATEGORIES OF TOPOLOGICAL MODULES C …

For any left R-module P with endomorphism ring S, the adjoint pair of functors P⊗ S− and
HomR (P,−) induce an equivalence between the categories of P-static R-modules and P …

We generalize the Morita theorems to certain functor categories using properties of adjoint
functors. Let sé and 38 be categories. Recall that sé and 38 are said to be equivalent if there …