Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Soft Computing
Published in: Soft Computing 10/2012

01-10-2012 | Original Paper

Bounded BCK-algebras of fractions and maximal BCK-algebra of quotients

Authors: Dumitru Buşneag, Dana Piciu

Published in: Soft Computing | Issue 10/2012

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The scope of this paper is to define the notions of BCK-algebras of multipliers, BCK-algebra of fractions and maximal BCK-algebra of quotients (in the bounded case) taking as a guideline the case of bounded Hilbert algebras (see Buşneag 1988).
previous article On mixed fuzzy topological spaces and countability
next article A novel two-stage hybrid swarm intelligence optimization algorithm and application

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
Literature
Buşneag D (1988) Hilbert algebra of fractions and maximal Hilbert algebra of quotients. Kobe J Math 5:161–172MathSciNetMATH
Buşneag D, Piciu D (2006) Residuated lattice of fractions relative to a ∧ − closed system. Bull Math Soc Sci Math Roum Tome 49(97)(1):13–24
Buşneag D (2006) Categories of algebraic logic, Editura Academiei Române, Bucharest
Cignoli R, Torrens A (2004) Glivenko like theorems in natural expansions of BCK-logic. Math Log Quart 50(2):111–125
Cornish WH (1980) A multiplier approach to implicative BCK-algebras. Math Semin Notes Kobe Univ 8(1):157–169
Diego A (1966) Sur les algèbres de Hilbert. In: Coll Logique Math, Serie A, No. 21, Gauthier-Villars, Paris, pp 1–54
Dudek WA (1999) On embedding Hilbert algebras in BCK-algebras. Math Morav 3:25–29MATH
Gispert J, Torrens A (2008) Boolean representation of bounded BCK-algebras. Soft Comput 12:941–954MATHCrossRef
Iorgulescu A (2008) Algebras of logic as BCK-algebras, Ed ASE, Bucharest
Iséki K, Tanaka S (1976) Ideal theory of BCK-algebras. Math Jpn 21:351–366MATH
Iséki K, Tanaka S (1978) An introduction to the theory of BCK-algebras. Math Jpn 23(1):1–26MATH
Kühr J (2007) Pseudo-BCK algebras and related structures. Placký University of Olomouc, Czech Republic
Lambek J (1966) Lectures on rings and modules. Blaisdell Publishing Company Walthman, Toronto, London
Meng J, Jun YB (1994) BCK-algebras. Kyangmoonsa, Seoul
Schmid J (1980) Multipliers on distributive lattices and rings of quotients. Houston J Math 6(3):401–425MathSciNetMATH
Schmid J (1980) Distributive lattices and rings of quotients. In: Coll Math Societatis Janos Bolyai, vol 33. Szeged, Hungary
Turunen E (1999) Mathematics behind fuzzy logic, Advances in soft computing. Physica-Verlag, Heidelberg
Wroński A (1983) BCK-algebras do not form a variety. Math Jpn 28:211–213MATH
Metadata
Title
Bounded BCK-algebras of fractions and maximal BCK-algebra of quotients
Authors
Dumitru Buşneag
Dana Piciu
Publication date
01-10-2012
Publisher
Springer-Verlag
Published in
Soft Computing / Issue 10/2012
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-012-0854-0

Other articles of this Issue 10/2012

Soft Computing 10/2012 Go to the issue

Original Paper

A novel two-stage hybrid swarm intelligence optimization algorithm and application

Original Paper

Metrizability on (semi)topological BL-algebras

Original Paper

Algebraic properties of complete residuated lattice valued tree automata

Original Paper

Fast parallel genetic programming: multi-core CPU versus many-core GPU

Original Paper

The stable topology for residuated lattices

Original Paper

On mixed fuzzy topological spaces and countability

Premium Partner

    Image Credits