References

CHARACTERIZATIONS OF A HIRATA SEPARABLE GROUP RING


[1] F. R. DeMeyer and E. Ingraham, Separable Algebras over Commutative Rings, Volume 181, Springer Verlag, Berlin, Heidelberg, New York, 1971.

[2] F. R. DeMeyer and G. J. Janusz, Group rings which are Azumaya algebras, Trans. Amer. Math. Soc. 279(1) (1983), 389-395.

[3] K. Hirata, H-separablity of group rings, Tsukuba J. Math. 6(1) (1986), 327-329.

[4] S. Ikehata, Note on Azumaya algebras and H-separable extensions, Math. J. Okayama Univ. 23 (1981), 17-18.

[5] K. Sugano, On centralizers in separable extensions, Osaka J. Math. 7 (1970), 29-41.

[6] G. Szeto and L. Xue, The Galois algebra with Galois group which is the automorphism group, Journal of Algebra 293(1) (2005), 312-318.

[7] G. Szeto and L. Xue, On Galois algebras satisfying the fundamental theorem, Communications in Algebra 35(12) (2007), 3979-3985.

[8] G. Szeto and L. Xue, On Azumaya group rings, Journal of Algebra, Number Theory: Advances and Applications 2(2) (2009), 21-26.

[9] G. Szeto and L. Xue, On Hirata separable Galois extensions, Scientiae Mathematicae Japonicae 69(3) (2009), 405-410.