Indecomposable matrices over a distributive lattice

Yi Jia Tan

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 2, page 299-316
  • ISSN: 0011-4642

Abstract

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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 × n fully indecomposable matrices as a subsemigroup of the semigroup H n ( L ) of all n × n Hall matrices over the lattice L are given.

How to cite

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Tan, Yi Jia. "Indecomposable matrices over a distributive lattice." Czechoslovak Mathematical Journal 56.2 (2006): 299-316. <http://eudml.org/doc/31030>.

@article{Tan2006,
abstract = {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.},
author = {Tan, Yi Jia},
journal = {Czechoslovak Mathematical Journal},
keywords = {distributive lattice; indecomposable matrix; fully indecomposable matrix; semigroup; characterization; distributive lattice; indecomposable matrix; fully indecomposable matrix; semigroup; characterization},
language = {eng},
number = {2},
pages = {299-316},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Indecomposable matrices over a distributive lattice},
url = {http://eudml.org/doc/31030},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Tan, Yi Jia
TI - Indecomposable matrices over a distributive lattice
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 2
SP - 299
EP - 316
AB - 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.
LA - eng
KW - distributive lattice; indecomposable matrix; fully indecomposable matrix; semigroup; characterization; distributive lattice; indecomposable matrix; fully indecomposable matrix; semigroup; characterization
UR - http://eudml.org/doc/31030
ER -

References

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