NDLI: A Remark on Frobenius Extensions and Endomorphism Rings

Content Provider	Scilit
Author	Nakayama, Tadasi Tsuzuku, Tosiro
Copyright Year	1959
Description	In his paper [1] F. Kasch developed a theory of Frobenius extensions as a generalization of the theory of Frobenius algebras. In it he established a very interesting relationship between the Frobenius property of an extension and that of its endomorphism ring [1, Satz 5], from which he further derived the Frobenius extension property of Galois extensions of simple rings [1, Satz 6]; with these results he kindly responded to what had been vaguely “conjectured” (as he wrote) by one of the writers on the connection between Galois theory and the theory of Frobenius algebras [2].
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/207BAE094DD89945F3A7B582FD79C08B/S0027763000006644a.pdf/div-class-title-a-remark-on-frobenius-extensions-and-endomorphism-rings-div.pdf
ISSN	00277630
e-ISSN	21526842
DOI	10.1017/s0027763000006644
Journal	Nagoya Mathematical Journal
Volume Number	15
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1959-08-01
Access Restriction	Open
Subject Keyword	Nagoya Mathematical Journal Endomorphism Ring Frobenius Extension
Content Type	Text
Resource Type	Article
Subject	Mathematics

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