Simple principal left ideal domains. (English) Zbl 0249.16002


16P10 Finite rings and finite-dimensional associative algebras
16W20 Automorphisms and endomorphisms
16U30 Divisibility, noncommutative UFDs
Full Text: DOI


[1] Cohn, P. M., Quadratic extensions of skew fields, (Proc. London Math. Soc., 11 (1961)), 531-556, (3) · Zbl 0104.03301
[2] Jacobson, N., Theory of Rings, (Math. Surveys, Vol. 1 (1943), Amer. Math. Soc: Amer. Math. Soc Providence, R.I) · JFM 61.1044.03
[3] Jategaonkar, A. V., Ore domains and free algebras, Bull. London Math. Soc., 1, 45-46 (1969) · Zbl 0175.03001
[4] Jategaonkar, A. V., Left Principal Ideal Rings, Springer Lecture Notes No. 123 (1970), Heidelberg · Zbl 0192.37901
[5] Ore, O., Theory of non-commutative polynomials, Ann. of Math., 34, 480-508 (1933) · JFM 59.0925.01
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