Name
Title | ||
|---|---|---|
A Bound On The Number Of Unary Polynomial Functions And A Decidability Result For Near-Rings |
Abstract | ||
|---|---|---|
Given a finite zero-symmetric near-ring with identity N, we ask whether there is a group G such that N is isomorphic to the inner automorphism near-ring < I(G); +, o >, or whether N is a compatible near-ring. We will show that there are algorithms that decide these questions. To this end, we study polynomial functions on subdirectly irreducible expanded groups. We prove that the size of a finite subdirectly irreducible expanded group is bounded from above by a function of the number of its zero-preserving unary polynomial functions. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1142/S0218196705002244 | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION |
Keywords | Field | DocType |
near-rings, polynomial functions, expanded groups, compatible near-rings | Discrete mathematics,Combinatorics,Unary operation,Polynomial,Algebra,Unary function,Decidability,Isomorphism,Matrix polynomial,Inner automorphism,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
15 | 2 | 0218-1967 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Erhard Aichinger | 1 | 2 | 2.92 |