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On the hypercenter of a ring. (English) Zbl 0313.16036


MSC:

16U70 Center, normalizer (invariant elements) (associative rings and algebras)
16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
16N60 Prime and semiprime associative rings
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References:

[1] Brauer, R., On a theorem of H. Cartan, Bull. Amer. Math. Soc., 55, 619-620 (1949) · Zbl 0037.02401
[2] Herstein, I. N., Two remarks on the commutativity of rings, Canad. J. Math., 7, 411-412 (1955) · Zbl 0065.02203
[3] Herstein, I. N., Topics in Ring Theory, (Chicago Lectures in Mathematics (1969), University of Chicago Press: University of Chicago Press IL) · Zbl 0232.16001
[4] Kaplansky, I., A theorem on division rings, Canad. J. Math., 3, 290-292 (1951) · Zbl 0043.03701
[5] Lihtman, A. I., Rings that are radical over a commutative subring, Math. Sbornik (N.S.), 83, 513-523 (1970)
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.