The additive groups of subdirectly irreducible rings
1979 ◽
Vol 20
(2)
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pp. 165-170
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An abelian group G is said to be subdirectly irreducible if there exists a subdirectly irreducible ring R with additive group G. If G is subdirectly irreducible, and if every ring R with additive group G, and R2 ≠ 0, is subdirectly irreducible, then G is said to be strongly subdirectly irreducible. The torsion, and torsion free, subdirectly irreducible and strongly subdirectly irreducible groups are classified completely. Results are also obtained concerning mixed subdirectly irreducible and strongly subdirectly irreducible groups.
1986 ◽
Vol 34
(2)
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pp. 275-281
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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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1997 ◽
Vol 55
(3)
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pp. 477-481
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2001 ◽
Vol 64
(1)
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pp. 71-79
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2006 ◽
Vol 05
(02)
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pp. 231-243
2015 ◽
Vol 36
(8)
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pp. 2419-2440
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