TY - JOUR
T1 - Ideal extensions of Γ-rings
AU - Snyders, A. J.M.
AU - Veldsman, S.
PY - 1993/6
Y1 - 1993/6
N2 - Given Γ-rings N1 and N2, a construction similar to the Everett sum of rings to find all possible extensions of N1 by N2 is given. Unlike the case of rings, it is not possible to find for any Γ-ring M an ideal extension that has a unity. Furthermore, contrary to the ring case, a Γ-ring with unity can not be characterized as a Γ-ring which is a direct summand in every extension thereof.
AB - Given Γ-rings N1 and N2, a construction similar to the Everett sum of rings to find all possible extensions of N1 by N2 is given. Unlike the case of rings, it is not possible to find for any Γ-ring M an ideal extension that has a unity. Furthermore, contrary to the ring case, a Γ-ring with unity can not be characterized as a Γ-ring which is a direct summand in every extension thereof.
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U2 - 10.1017/S1446788700031840
DO - 10.1017/S1446788700031840
M3 - Article
AN - SCOPUS:84972215238
SN - 1446-7887
VL - 54
SP - 368
EP - 392
JO - Journal of the Australian Mathematical Society
JF - Journal of the Australian Mathematical Society
IS - 3
ER -