TY - JOUR

T1 - Nakayama functors and Eilenberg–Watts theorems

AU - Ivanov, S. O.

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - Nakayama functor

KW - finite-dimensional algebra

KW - self-injective algebra.

U2 - 10.1007/s10958-012-0831-2

DO - 10.1007/s10958-012-0831-2

M3 - Article

VL - 183

SP - 675

EP - 680

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -