Herstein, I. N. A theorem on invariant subrings. (English) Zbl 0514.16001 J. Algebra 83, 26-32 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 11 Documents MSC: 16N60 Prime and semiprime associative rings 16W20 Automorphisms and endomorphisms 16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) 16U99 Conditions on elements Keywords:center; extended centroid; central closure of prime ring; invariant subrings Citations:Zbl 0077.258 PDFBibTeX XMLCite \textit{I. N. Herstein}, J. Algebra 83, 26--32 (1983; Zbl 0514.16001) Full Text: DOI References: [1] Amitsur, S. A., Invariant submodules of simple rings, (Proc. Amer. Math. Soc., 7 (1958)), 987-989 · Zbl 0077.25803 [2] Baxter, W. E., Lie simplicity of a special class of associative rings, (Proc. Amer. Math. Soc., 7 (1958)), 855-863 · Zbl 0071.25902 [4] Hattori, A., On invariant subrings, Japan. J. Math., 21, 121-129 (1951) · Zbl 0045.16002 [5] Herstein, I. N., Topics in Ring Theory, (Chicago Lecture Notes in Mathematics (1969), Univ. of Chicago Press: Univ. of Chicago Press Chicago) · Zbl 0232.16001 [6] Herstein, I. N., Rings with Involution, (Chicago Lecture Notes in Mathematics (1976), Univ. of Chicago Press: Univ. of Chicago Press Chicago) · Zbl 0343.16011 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.