Pseudo-BCH Semilattices | Zendy

Andrzej Walendziak | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Pseudo-BCH Semilattices

Author(s) -

Andrzej Walendziak

Publication year - 2018

Publication title -

bulletin of the section of logic

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.225

H-Index - 13

eISSN - 2449-836X

pISSN - 0138-0680

DOI - 10.18778/0138-0680.47.2.04

Subject(s) - bch code , mathematics , distributive property , discrete mathematics , pure mathematics , decoding methods , algorithm

In this paper we study pseudo-BCH algebras which are semilattices or lattices with respect to the natural relations ≤; we call them pseudo-BCH join-semilattices, pseudo-BCH meet-semilattices and pseudo-BCH lattices, respectively. We prove that the class of all pseudo-BCH join-semilattices is a variety and show that it is weakly regular, arithmetical at 1, and congruence distributive. In addition, we obtain the systems of identities defininig pseudo-BCH meet-semilattices and pseudo-BCH lattices.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research