A Note on Bosbach's Cone Algebras

Wolfgang Rump; Yichuan Yang

doi:10.1007/s11225-011-9340-4

A Note on Bosbach's Cone Algebras

Wolfgang Rump^*
, Yichuan Yang

^*Corresponding author for this work

School of Mathematical Sciences

University of Stuttgart

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In 2002, Dvurečenskij extended Mundici's equivalence between unital abelian l-groups and MV-algebras to the non-commutative case. We analyse the relationship to Bosbach's cone algebras and clarify the rôle of the corresponding pair of L-algebras. As a consequence, it follows that one of the two L-algebra axioms can be dropped.

Original language	English
Pages (from-to)	375-386
Number of pages	12
Journal	Studia Logica
Volume	98
Issue number	3
DOIs	https://doi.org/10.1007/s11225-011-9340-4
State	Published - Aug 2011

Keywords

L-algebra
brick
cone algebra
pseudo MV-algebra

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10.1007/s11225-011-9340-4

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title = "A Note on Bosbach's Cone Algebras",

abstract = "In 2002, Dvure{\v c}enskij extended Mundici's equivalence between unital abelian l-groups and MV-algebras to the non-commutative case. We analyse the relationship to Bosbach's cone algebras and clarify the r{\^o}le of the corresponding pair of L-algebras. As a consequence, it follows that one of the two L-algebra axioms can be dropped.",

keywords = "L-algebra, brick, cone algebra, pseudo MV-algebra",

author = "Wolfgang Rump and Yichuan Yang",

year = "2011",

month = aug,

doi = "10.1007/s11225-011-9340-4",

language = "英语",

volume = "98",

pages = "375--386",

journal = "Studia Logica",

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TY - JOUR

T1 - A Note on Bosbach's Cone Algebras

AU - Rump, Wolfgang

AU - Yang, Yichuan

PY - 2011/8

Y1 - 2011/8

N2 - In 2002, Dvurečenskij extended Mundici's equivalence between unital abelian l-groups and MV-algebras to the non-commutative case. We analyse the relationship to Bosbach's cone algebras and clarify the rôle of the corresponding pair of L-algebras. As a consequence, it follows that one of the two L-algebra axioms can be dropped.

AB - In 2002, Dvurečenskij extended Mundici's equivalence between unital abelian l-groups and MV-algebras to the non-commutative case. We analyse the relationship to Bosbach's cone algebras and clarify the rôle of the corresponding pair of L-algebras. As a consequence, it follows that one of the two L-algebra axioms can be dropped.

KW - L-algebra

KW - brick

KW - cone algebra

KW - pseudo MV-algebra

UR - https://www.scopus.com/pages/publications/81155161856

U2 - 10.1007/s11225-011-9340-4

DO - 10.1007/s11225-011-9340-4

M3 - 文章

AN - SCOPUS:81155161856

SN - 0039-3215

VL - 98

SP - 375

EP - 386

JO - Studia Logica

JF - Studia Logica

IS - 3

ER -

A Note on Bosbach's Cone Algebras

Abstract

Keywords

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