Radicals and one-sided ideals
1986 ◽
Vol 103
(3-4)
◽
pp. 241-251
◽
The correspondence between radicals of associative rings and A-radicals is studied. It is shown that corresponding to each A-radical there is an interval of radicals and that each radical belongs to exactly one such interval. The question of the nature of the radical of a one-sided ideal is considered. It is shown that the radicals such that the radical of a one-sided ideal is always a one-sided ideal are those which contain their associated A-radicals. Radicals such that the radical of a one-sided ideal always equals the intersection of a left ideal and a right ideal are described, as are those A-radicals such that every associated radical has this property.
1985 ◽
Vol 32
(3)
◽
pp. 357-360
1986 ◽
Vol 28
(2)
◽
pp. 223-225
◽
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1972 ◽
Vol 13
(1)
◽
pp. 56-60
◽
2016 ◽
Vol 26
(05)
◽
pp. 985-1017
Keyword(s):
Keyword(s):
Keyword(s):