On the additive groups of subdirectly irreducible rings
1986 ◽
Vol 34
(2)
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pp. 275-281
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Keyword(s):
In this paper we study the additive group structure of subdirectly irreducible rings and their hearts. We give and example of a torsion-free, non-reduced abelian group which is not the underlying additive group of any associative subdirectly irreducible ring. It is a counterexample to a theorem in Feigelstock's book “Additive Groups of Rings.”
1979 ◽
Vol 20
(2)
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pp. 165-170
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2018 ◽
Vol 61
(1)
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pp. 295-304
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Keyword(s):
2011 ◽
Vol 21
(08)
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pp. 1463-1472
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2016 ◽
Vol 94
(3)
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pp. 449-456
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Keyword(s):
1997 ◽
Vol 55
(3)
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pp. 477-481
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2001 ◽
Vol 64
(1)
◽
pp. 71-79
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Keyword(s):
2006 ◽
Vol 05
(02)
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pp. 231-243