TY - JOUR
T1 - The additive groups of subdirectly irreducible rings
AU - Feigelstock, Shalom
PY - 1979/4
Y1 - 1979/4
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84973963433&partnerID=8YFLogxK
U2 - 10.1017/S0004972700010807
DO - 10.1017/S0004972700010807
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:84973963433
SN - 0004-9727
VL - 20
SP - 165
EP - 170
JO - Bulletin of the Australian Mathematical Society
JF - Bulletin of the Australian Mathematical Society
IS - 2
ER -