Rings with polynomial identity and centrally essential rings
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry - Tập 60 - Trang 657-661 - 2019
Tóm tắt
It is proved that for any prime integer p and each field F of characteristic p, there exists a centrally essential F-algebra which is not a PI-ring and is not algebraic over its center.
Tài liệu tham khảo
Markov, V.T., Tuganbaev, A.A.: Centrally essential group algebras. J. Algebra. 518, 109–118 (2018)
Passman, D.S.: The Algebraic Structure of Group Rings. Wiley, New York (1977)
Rowen, L.H.: Polynomial Identities in Ring Theory. Academic Press, Inc., New York (1980)
Zhevlakov, K.A., Slin’ko, A.M., Shestakov, I.P., Shirshov, A.I.: Rings That are Nearly Associative, p. xi+371. Academic Press, New York (1982)