Geodesic
Nakayama functors and Eilenberg--Watts theorems
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 21, Tome 388 (2011), pp. 179-188

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In the present paper analogues of Eilenberg–Watts theorem are proved for categories of finitely generated modules over finite dimensional algebras for right exact and left exact functors. Furthermore, for left exact functors corresponding bimodules are described explicitly. The main aim of this paper is to present how one can obtain some new descriptions of Nakayama functor and inverse Nakayama functor for selfinjective algebras with this versions of Eilenberg–Watts theorem. 
@article{ZNSL_2011_388_a6,
     author = {S. O. Ivanov},
     title = {Nakayama functors and {Eilenberg--Watts} theorems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {179--188},
     publisher = {mathdoc},
     volume = {388},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_388_a6/}
}
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S. O. Ivanov. Nakayama functors and Eilenberg--Watts theorems. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 21, Tome 388 (2011), pp. 179-188. http://geodesic.mathdoc.fr/item/ZNSL_2011_388_a6/