Numerical semigroups and aplications
Summary
The project is divided in the tasks, each one divided in several subtasks:
1. Given a subset X of N de set N - X is not necessarily a numerical semigroup, our purpose is precisely to characterize those finite subsets of N wich are gap sets for a numerical semigroup.
2. Study and improvement of the invariants of numerical semigroups.
a. Study of the invariants related to Med-semigroups, Arf semigroups and Saturated semigroups.
b. Implementation of the newly obtained results.
3. Let ( u_1, u_2 , … ) be an increasing succession in N. To determine the succession of numerical semigroups generated by {u_1 , …}, {u_2 ,u_3 , ….}. To know if the properties of the semigroups we obtain depend of the given initial succession.
4. Study semigroups associates the classes of projected in C* - algebras. These semigroups generate the groups of K-theory K_0 de C*- algebras.
Goals, activities and expected/achieved results
To promote contacts and cooperation with other international research teams throw the realization of some joint seminars, missions abroad and an international conference dedicated to the subject.
| Attribute | Type | Value |
|---|---|---|
| id | integer | 1395 |
