3
votes
0answers
85 views

Correspondence between numerical semigroups and polynomials?

A numerical semigroup $A$ is defined as a subsemigroup of the semigroup $(\mathbb{N},+)$ of the positive integers such that the set $\mathbb{N}\setminus A$ is finite. Equivalently (for a subsemigroup) ...
4
votes
1answer
315 views

Growth zeta-functions of regular languages

Dear All, my following question may be known and ought to be known, so in case it is folklore please could you give me the references. To start, it is obvious that growth of rational languages are ...
1
vote
1answer
181 views

$\omega$-monoids

Does the notion of $\omega$-monoid exist, analogous to the notions of $\omega$-groupoid and $\omega$-category? If so, some references would be appreciated. This is an attempted rephrasing of ...
5
votes
0answers
325 views

Chain/Hierarchy of Monoids

Let's assume that we have the following collection of structures: Some space $P$. Monoids $(M_{i+1},\circ_{i+1})$, and Actions $\bullet_{i+1}:M_{i+1}\times M_i\to M_i$, for $i\ge 0$ And ...