Автор |
Booth, G. L. |
Дата выпуска |
1984 |
dc.description |
AbstractA notion of G-regularity is introduced for a Γ-ring M, and from this notion a Brown-McCoy radical, B(M) is defined. B(M) is shown to be a radical in the sense of Kurosh and Amitsur, and analogies of various well-known results on the Brown-McCoy radical of a ring are proved. A “right” Brown McCoy radical, B'(M) can also be defined. In general, B(M) • B'(M). |
Формат |
application.pdf |
Издатель |
Taylor & Francis Group |
Копирайт |
Copyright Taylor and Francis Group, LLC |
Тема |
16A78 |
Название |
A BROWN-McCOY RADICAL FOR T-RINGS |
Тип |
research-article |
DOI |
10.1080/16073606.1984.9632335 |
Electronic ISSN |
1727-933X |
Print ISSN |
1607-3606 |
Журнал |
Quaestiones Mathematicae |
Том |
7 |
Первая страница |
251 |
Последняя страница |
261 |
Аффилиация |
Booth, G. L.; Technikon Natal |
Выпуск |
3 |
Библиографическая ссылка |
Barnes, W. E. 1966. On the T-rings of Nobusawa. Pacific J. Math, 18(3): 411–422. |
Библиографическая ссылка |
Coppage, W. E. and Luh, J. 1971. Radicals of gamma rings. J. Math. Soc. Japan, 23(1): 40–52. |
Библиографическая ссылка |
Kyuno, S. 1979. A gamma ring with the right and left unities. Math. Japonica, 24(2): 191–193. |
Библиографическая ссылка |
Kyuno, S. 1979. Coincidence of the right Jacobson radical and the left Jacobson radical in a gamma ring. Tsukuba J. Math., 3(1): 31–35. |
Библиографическая ссылка |
Kyuno, S. 1982. Prime ideals in gamma rings. Pacific J. Math., 98(2): 375–379. |
Библиографическая ссылка |
McCoy, N. H. 1973. The theory of rings Chelsea Publishing Company. |
Библиографическая ссылка |
Wiegandt, R. 1983. Radical theory of rings Research report of the University of Pretoria. |