Name
Abstract | ||
|---|---|---|
We show that if S is a finite semigroup with aperiodic idempotent-generated subsemi-group and H is a pseudovariety of groups, then the sequence of iterated H-kernels of S stops at the idempotent-generated subsemigroup if and only if each subgroup of S belongs to the wreath product closure of H. Applications are given to Mal'cev products. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1142/S021819670400202X | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION |
Keywords | Field | DocType |
iterated kernels, wreath product closure, Mal'cev products | Discrete mathematics,Combinatorics,Krohn–Rhodes theory,Algebra,If and only if,Wreath product,Aperiodic graph,Semigroup,Idempotence,Iterated function,Mathematics | Journal |
Volume | Issue | ISSN |
14 | 5-6 | 0218-1967 |
Citations | PageRank | References |
1 | 0.40 | 2 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Manuel Delgado | 1 | 43 | 4.80 |
| Vitor Fernandes | 2 | 6 | 1.57 |
| Stuart W. Margolis | 3 | 102 | 18.14 |
| Benjamin Steinberg | 4 | 3 | 1.16 |