Simple algebras and derivations. (English) Zbl 0112.02802
Keywords:
rings, modules, fieldsReferences:
| [1] | S. A. Amitsur, Derivations in simple rings, Proc. London Math. Soc. (3) 7 (1957), 87 – 112. · Zbl 0083.02803 · doi:10.1112/plms/s3-7.1.87 |
| [2] | G. Hochschild, Simple algebras with purely inseparable splitting fields of exponent 1, Trans. Amer. Math. Soc. 79 (1955), 477 – 489. · Zbl 0065.01902 |
| [3] | G. Hochschild, Restricted Lie algebras and simple associative algebras of characteristic \?, Trans. Amer. Math. Soc. 80 (1955), 135 – 147. · Zbl 0065.26701 |
| [4] | Nathan Jacobson, Abstract derivation and Lie algebras, Trans. Amer. Math. Soc. 42 (1937), no. 2, 206 – 224. · Zbl 0017.29203 |
| [5] | Nathan Jacobson, \?-algebras of exponent \?, Bull. Amer. Math. Soc. 43 (1937), no. 10, 667 – 670. · Zbl 0017.29301 |
| [6] | O. Teichmüller, Verschränkte Produkte mit Normalringen, Deutsch. Math. 1 (1936), 92-102. · Zbl 0013.34004 |
| [7] | -, p-Algebren, Deutsch. Math. 1 (1936), 362-388. · JFM 62.0101.03 |
| [8] | Oystein Ore, On a special class of polynomials, Trans. Amer. Math. Soc. 35 (1933), no. 3, 559 – 584. · JFM 59.0163.02 |
| [9] | Oystein Ore, Theory of non-commutative polynomials, Ann. of Math. (2) 34 (1933), no. 3, 480 – 508. · Zbl 0007.15101 · doi:10.2307/1968173 |
| [10] | Hans Zassenhaus, The representations of Lie algebras of prime characteristic, Proc. Glasgow Math. Assoc. 2 (1954), 1 – 36. · Zbl 0059.03001 |
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.
