References
- Anderson , D. D. , Anderson , D. F. and Zafrullah , M. 1992 . Factorization in integral domain . J. Algebra , 152 : 78 – 93 .
- Cauchon , G. Diagonalisations de matrices à coefficients dans un corps gauche. Notes for a talk given in Caen (France) in May 2000
- Cohn , P. M. 1963 . Non commutative factorization domains . Trans. Math. Amer. Soc. , 199 : 313 – 332 .
- Cohn , P. M. 1971 . Free Rings and Their Relations Academic Press .
- Fitting , H. 1936 . Über den Zusammenhang zwischen dem Begriff der Gleichartigkeit zweier Ideale und dem Äquivalenzbegriff der Elementarteilertheorie . Math. Ann. , 112 : 572 – 582 .
- Jacobson , N. 1980 . Basic Algebra II W.H. Freeman .
- Lam , T. Y. 2001 . A First Course in Noncommutative Rings , Graduate Texts in Math., 131 Vol. 2nd ed , Springer-Verlag .
- Lam , T. Y. and Leroy , A. 1988 . Algebraic conjugacy classes and skew polynomial rings. In: van Oystaeyen, F., Le Bruyn, L., eds. Perspectives in Ring Theory. Dordrecht/Boston/London: Kluwer Academic Publishers, pp. 153–203. Proceedings of the Antwerp Conference in Ring Theory
- Lam , T. Y. and Leroy , A. 2000 . Principal one sided ideals in Ore polynomial rings . Contemp. Math. , 259 : 333 – 352 .
- Lam , T. Y. and Leroy , A. 2004 . Wedderburn polynomials, I . J. Pure Appl. Algebra , 186 : 43 – 76 . [CROSSREF]
- Lam , T. Y. , Leroy , A. and Ozturk , A. Wedderburn polynomials, II. In preparation
- Ore , O. 1993 . Theory of noncommutative polynomials . Ann. Math. , 34 : 480 – 508 .
- Ozturk , A. Eigenrings of cyclic modules of 2-firs. To appear
- Treur , J. 1989 . Separate zeros and Galois extensions of skew fields . J. Algebra , 120 : 392 – 405 . [CROSSREF]
- #Communicated by J. Alev.
- aLet us recall that a nonzero element in a ring R is an atom if it is not a unit and cannot be written as a product of two non units.