Regular elements determined by generalized inverses
2019 ◽
Vol 18
(07)
◽
pp. 1950128
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Keyword(s):
In a semiprime ring, von Neumann regular elements are determined by their inner inverses. In particular, for elements [Formula: see text] of a von Neumann regular ring [Formula: see text], [Formula: see text] if and only if [Formula: see text], where [Formula: see text] denotes the set of inner inverses of [Formula: see text]. We also prove that, in a semiprime ring, the same is true for reflexive inverses.
2007 ◽
Vol 06
(05)
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pp. 779-787
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Keyword(s):
2011 ◽
Vol 21
(05)
◽
pp. 745-762
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Keyword(s):
1974 ◽
Vol 17
(2)
◽
pp. 283-284
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Keyword(s):
1972 ◽
Vol 32
(2)
◽
pp. 425-425
2010 ◽
Vol 52
(A)
◽
pp. 103-110
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2006 ◽
Vol 2006
◽
pp. 1-6
Keyword(s):