@article{oai:tsukuba.repo.nii.ac.jp:00018337,
 author = {星野, 光男 and Abe, Hiroki and Hoshino, Mitsuo},
 issue = {3},
 journal = {Algebras and representation theory},
 month = {Jun},
 note = {application/pdf, Let n ≥ 1 be an integer and π a permutation of I = {1, ⋯ ,n}. For any ring R, we provide a systematic construction of rings A which contain R as a subring and enjoy the following properties: (a) 1 = ∑   i ∈ I   e   i   with the e   i   orthogonal idempotents; (b) e   i   x = xe   i   for all i ∈ I and x ∈ R; (c) e   i   A  e   j   ≠ 0 for all i, j ∈ I; (d) e   i   A   A   ≇ e   j   A   A   unless i = j; (e) every e   i   Ae   i   is a local ring whenever R is; (f) e   i   A   A   ≅ Hom  R  (Ae   π(i),R   R  ) and  A   Ae   π(i) ≅   A  Hom  R  (e   i   A,  R   R) for all i ∈ I; and (g) there exists a ring automorphism η ∈ Aut(A) such that η(e   i  ) = e   π(i) for all i ∈ I. Furthermore, for any nonempty π-stable subset J of I, the mapping cone of the multiplication map $\bigoplus_{i \in J} Ae_{i} \otimes_{R} e_{i}A_{A} \to A_{A}$ is a tilting complex.},
 pages = {215--232},
 title = {Frobenius Extensions and Tilting Complexes},
 volume = {11},
 year = {2008}
}