On derivations of quantales

• Autorzy: Qimei Xiao , Wenjun Liu
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Quantale; Derivation; Quantic nucleus; Pre-derivation; Quantic pre-nucleus

Kategorie tematyczne

• 54A10: Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
• 06A06: Partial order, general

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 338-346

Daty

wydano

2016-01-01

otrzymano

2016-02-29

zaakceptowano

2016-05-06

online

2016-05-23

Twórcy

autor

Qimei Xiao

• School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan, 410004, P.R.

autor

Wenjun Liu

• School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan, 410004, P.R.

Identyfikatory

DOI

10.1515/math-2016-0030