论文信息 - THE SEMIGROUP OF RIGHT IDEALS OF A RIGHT WEAKLY REGULAR RING

THE SEMIGROUP OF RIGHT IDEALS OF A RIGHT WEAKLY REGULAR RING

The structure of the multiplicative semigroup of all right ideals of a right weakly regular ring is investigated. Relevant background material and some new results for this class of rings are given. Examples are given which illustrate and delimit the theory developed. E-mail addresses: heh5820@louisiana.edu, karl.kosler@uwc.edu, tucci@loyno.edu 158 H. E. Heatherly, K. A. Kosler and R. P. Tucci

R. P. Tucci | H. Heatherly | K. A. Kosler

[1] A. Tuganbaev. Rings Close to Regular , 2002 .

[2] A. Smoktunowicz. A SIMPLE NIL RING EXISTS , 2002 .

[3] R. Andruszkiewicz,et al. Right fully idempotent rings need not be left fully idempotent , 1995, Glasgow Mathematical Journal.

[4] Victor Camillo,et al. Weakly regular rings , 1994 .

[5] Stanley Burris,et al. A course in universal algebra , 1981, Graduate texts in mathematics.

[6] Shoji Kyuno. On the radicals of Γ-rings , 1975 .

[7] John Dauns. One sided prime ideals. , 1973 .

[8] R. Courter. Rings All of whose Factor Rings are Semi-Prime , 1969, Canadian Mathematical Bulletin.

[9] P. Cohn,et al. An example of a simple radical ring , 1967 .

[10] Neal H. McCoy,et al. Some theorems on groups with applications to ring theory , 1950 .