| Title:
|
On extensions of homomorphisms and homotopies of commutative $n$-adic groups (English) |
| Author:
|
Chronowski, Antoni |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
27 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
139-148 |
| . |
| Category:
|
math |
| . |
| MSC:
|
20N15 |
| idZBL:
|
Zbl 0781.20039 |
| idMR:
|
MR1189208 |
| . |
| Date available:
|
2008-06-06T06:23:12Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107414 |
| . |
| Reference:
|
[1] A. Chronowski: The Pexider equation on n-semigroups and n-groups.Publ. Math. (Debrecen), 37 (1990), 121-130. Zbl 0712.39022, MR 1063664 |
| Reference:
|
[2] I. Corovei, I. Purdea: Relations between the homomorphisms of n-groups and the homomorphisms of their reducts.Mathematica (Cluj), 25 (1983), 131-135. MR 0742756 |
| Reference:
|
[3] W. Dudek, J. Michalski: On a generalization of Hosszú theorem.Demonstratio Math., 15 (1982), 783-805. Zbl 0523.20045, MR 0693541 |
| Reference:
|
[4] L. Fuchs: Abelian groups.Pergamon Press, Oxford - London - New York - Paris, 1960. Zbl 0100.02803, MR 0111783 |
| Reference:
|
[5] M. Hosszú: On the explicit form of n-group operations.Publ. Math.(Debrecen), 10 (1963), 88-92. MR 0167544 |
| Reference:
|
[6] M. Kuczma: An introduction to the theory of functional equations and inequalities.Panstowe Wydawnictwo Naukowe, Warszawa - Krakow - Katowice, 1985. Zbl 0555.39004, MR 0788497 |
| Reference:
|
[7] J. D. Monk, F. D. Sioson: On general theory of m-groups.Fund. math., 72 (1971), 233-244. MR 0294219 |
| Reference:
|
[8] E. I. Sokolov: The Gluskin - Hosszú theorem for the Dörnte n-groups.(Russian), Nets and quasigroups, Mat. Issled, 39 (1976), 187-189. MR 0442135 |
| . |
