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Kriterien für die Existenz eines Einselements in Ringen. (German) Zbl 0047.26501


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[1] Baer, R. [1] Inverses and zero-divisors. Bull. Amer. Math. Soc., vol. 48 (1942), 630-638. · Zbl 0060.07103 · doi:10.1090/S0002-9904-1942-07750-0
[2] [2] Radical ideals. Amer. Journal of Math. vol. 65 (1943), pp. 537-568. · Zbl 0060.07104 · doi:10.2307/2371865
[3] [3] Rings with duals. Amer. Journal of Math., vol. 65 (1943), pp. 569-584. · Zbl 0060.07201 · doi:10.2307/2371866
[4] Hall, M. [1] A type of algebraic closure. Ann. of Math., vol. 40 (1939), pp. 360-369. · Zbl 0021.10201 · doi:10.2307/1968924
[5] Jacobson, N. [1] The radical and semi-simplicity for arbitrary rings. Amer. Journal of Math., vol. 67 (1945), pp. 300-320. · Zbl 0060.07305 · doi:10.2307/2371731
[6] Kaplansky, I. [1] Dual rings. Ann. of Math., vol. 49 (1948), pp. 689-701. · Zbl 0031.34401
[7] Köthe, G. [1] Die Struktur der Ringe, deren Restklassenring nach dem Radikal vollständig reduzibel ist. Math. Zeitschrift, Bd. 32 (1930), pp. 161-186. · JFM 56.0143.01 · doi:10.1007/BF01194626
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