Noncommutative rings with elementary dividers

  • В. V. Zabavsky Львов. ун-т

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.

Published
19.06.1990
How to Cite
ZabavskyВ. V. “Noncommutative Rings With Elementary Dividers ”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 42, no. 6, June 1990, pp. 847-50, https://umj.imath.kiev.ua/index.php/umj/article/view/8851.
Section
Short communications