1. Indecomposable matrices over a distributive lattice
- Creator:
- Tan, Yi-Jia
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- distributive lattice, indecomposable matrix, fully indecomposable matrix, semigroup, and characterization
- Language:
- English
- Description:
- In this paper, the concepts of indecomposable matrices and fully indecomposable matrices over a distributive lattice $L$ are introduced, and some algebraic properties of them are obtained. Also, some characterizations of the set $F_n(L)$ of all $n\times n$ fully indecomposable matrices as a subsemigroup of the semigroup $H_n(L)$ of all $n\times n$ Hall matrices over the lattice $L$ are given.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public