| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1709844 | Applied Mathematics Letters | 2008 | 5 Pages |
Abstract
Let X1,…,Xn,YX1,…,Xn,Y be not necessarily abelian multiplicative groups. We identify a class of group homomorphisms hi:Xi→Yhi:Xi→Y for i=1,n¯ such that both the solvability and the set of solutions of h1(x1)…hn(xn)=y,h1(x1)…hn(xn)=y, can be characterized. This generalizes a result of Cain [B. Cain, Group homomorphisms hihi such that h1(x1)+⋯+hn(xn)=yh1(x1)+⋯+hn(xn)=y is solvable, Linear Algebra Appl. 360 (2003) 191–195].
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Authors
Dragana S. Cvetković-Ilić,