Noncommutative rings with elementary dividers
Keywords:
-Abstract
Maximally nonprincipal ideals of rings of finitely generated principal ideals are investigated. A new class of rings of elementary divisors is described.
References
Kaplansky J. Elementary divisor and modules// Trans. Amer. Math. Soc.— 1949.— 66.— P. 464—491.
Shores T. Bezout rings and their modules//Ring Theory Proc. Oklf. Conf.— New York : Acad. press, 1974.— P. 63—73.
Забавский Б. В. О некоммутативных кольцах элементарных делителей // Укр. мат. журн.— 1987.— 39, № 4.— С. 440—444.