Rings decomposed into direct sums ofJ-rings and nil rings
1985 ◽
Vol 8
(1)
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pp. 205-207
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LetRbe a ring (not necessarily with identity) and letEdenote the set of idempotents ofR. We prove thatRis a direct sum of aJ-ring (every element is a power of itself) and a nil ring if and only ifRis stronglyπ-regular andEis contained in someJ-ideal ofR. As a direct consequence of this result, the main theorem of [1] follows.
2017 ◽
Vol 60
(4)
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pp. 791-806
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Keyword(s):
1994 ◽
Vol 17
(4)
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pp. 661-666
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1981 ◽
Vol 33
(4)
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pp. 817-825
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Keyword(s):
1990 ◽
Vol 33
(1)
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pp. 11-17
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2012 ◽
Vol 54
(3)
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pp. 605-617
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2014 ◽
Vol 13
(05)
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pp. 1350153
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2010 ◽
Vol 52
(A)
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pp. 103-110
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