1. Embedding sums of cancellative modes into semimodules
- Creator:
- Romanowska, Anna and Zamojska-Dzenio, Anna
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- modes (idempotent and entropic algebras), cancellative modes, sums of algebras, embeddings, semimodules over semiring, and idempotent subreducts of semimodules
- Language:
- English
- Description:
- A mode (idempotent and entropic algebra) is a Lallement sum of its cancellative submodes over a normal band if it has a congruence with a normal band quotient and cancellative congruence classes. We show that such a sum embeds as a subreduct into a semimodule over a certain ring, and discuss some consequences of this fact. The result generalizes a similar earlier result of the authors proved in the case when the normal band is a semilattice.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public