Abstract
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.
Original language | English |
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Pages (from-to) | 368-392 |
Number of pages | 25 |
Journal | Journal of the Australian Mathematical Society |
Volume | 54 |
Issue number | 3 |
DOIs | |
Publication status | Published - Jun 1993 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics