Varieties of ∗-regular rings
Keyword(s):
AbstractGiven a subdirectly irreducible ∗-regular ring R, we show that R is a homomorphic image of a regular ∗-subring of an ultraproduct of the (simple) eRe, e in the minimal ideal of R; moreover, R (with unit) is directly finite if all eRe are unit-regular. For any subdirect product of artinian ∗-regular rings we construct a unit-regular and ∗-clean extension within its variety.
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1986 ◽
Vol 38
(3)
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pp. 633-658
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1971 ◽
Vol 4
(1)
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pp. 31-34
1974 ◽
Vol 17
(2)
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pp. 283-284
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1971 ◽
Vol 23
(2)
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pp. 197-201
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2013 ◽
Vol 88
(3)
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pp. 499-505
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2020 ◽
Vol 1591
(1)
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pp. 012098
2018 ◽
Vol 72
(1)
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pp. 45