On derivations of quantales

Qimei Xiao, and Wenjun Liu. "On derivations of quantales." Open Mathematics 14.1 (2016): 338-346. <http://eudml.org/doc/277098>.

@article{QimeiXiao2016,
abstract = {A quantale is a complete lattice equipped with an associative binary multiplication distributing over arbitrary joins. We define the notions of right (left, two) sided derivation and idempotent derivation and investigate the properties of them. It’s well known that quantic nucleus and quantic conucleus play important roles in a quantale. In this paper, the relationships between derivation and quantic nucleus (conucleus) are studied via introducing the concept of pre-derivation.},
author = {Qimei Xiao, Wenjun Liu},
journal = {Open Mathematics},
keywords = {Quantale; Derivation; Quantic nucleus; Pre-derivation; Quantic pre-nucleus; quantale; derivation; quantic nucleus; pre-derivation; quantic pre-nucleus},
language = {eng},
number = {1},
pages = {338-346},
title = {On derivations of quantales},
url = {http://eudml.org/doc/277098},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Qimei Xiao
AU - Wenjun Liu
TI - On derivations of quantales
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 338
EP - 346
AB - A quantale is a complete lattice equipped with an associative binary multiplication distributing over arbitrary joins. We define the notions of right (left, two) sided derivation and idempotent derivation and investigate the properties of them. It’s well known that quantic nucleus and quantic conucleus play important roles in a quantale. In this paper, the relationships between derivation and quantic nucleus (conucleus) are studied via introducing the concept of pre-derivation.
LA - eng
KW - Quantale; Derivation; Quantic nucleus; Pre-derivation; Quantic pre-nucleus; quantale; derivation; quantic nucleus; pre-derivation; quantic pre-nucleus
UR - http://eudml.org/doc/277098
ER -