Skip to main content
SpringerLink
Log in

A note on automorphisms of finite B-algebras

  • Published:
Afrika Matematika Aims and scope Submit manuscript

Abstract

In this paper, we introduce the notion of a central B-automorphism of a finite B-algebra. Also some properties of a finite B-algebra and B-automorphism algebra are investigated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Allen, P.J., Neggers, J., Kim, H.S.: \(B\)-algebras and groups. Sci. Math. Japonicae 9, 159–165 (2003)

    MATH  Google Scholar 

  2. Al-Shehri, N.O.: On \(\text{ Hom }(-, -)\) as \(B\)-algebras. JP J. Algebra Num. Theory Appl. 18(1), 17–24 (2010)

    MathSciNet  MATH  Google Scholar 

  3. Ameri, R., Borumand Saied, A., Nematolah Zadeh, S.A., Radfar, A., Borzooei, R.A.: On finite \(B\)-algebra. Afr. Mat. 26(5), 825–847 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  4. Bantug, J.S., Endam, J.C.: Lagrange’s Theorem for \(B\)-algebras. Int. J. Algebra 11(1), 15–23 (2017)

    Article  Google Scholar 

  5. Cho, J.R., Kim, H.S.: On \(B\)-algebras and quasigroups. Quasigroups Relat. Syst. 8, 1–6 (2001)

    MathSciNet  MATH  Google Scholar 

  6. Endam, J.C., Vilela, J.P.: The second isomorphism theorem for \(B\)-algebras. Appl. Math. Sci. 8(38), 1865–1872 (2014)

    MathSciNet  Google Scholar 

  7. Endam, J.C.: Centralizer and normalizer of \(B\)-algebras. Sci. Math. Japonicae. Online e-2016-11 (2016)

  8. Gonzaga, N.C., Vilela, J.P.: On cyclic \(B\)-algebras. Appl. Math. Sci. 9(111), 5507–5522 (2015)

    Google Scholar 

  9. Imai, Y., Iséki, K.: On axiom systems of propositional calculi. XIV. Proc. Japan Acad. 42, 19–22 (1966)

    Article  MathSciNet  MATH  Google Scholar 

  10. Iséki, K.: An algebra related with a propositional calculus. Proc. Japan Acad. 42, 26–29 (1966)

    Article  MathSciNet  MATH  Google Scholar 

  11. Kamali Ardekani, L., Davvaz, B.: On \((f, g)\)-derivations of \(B\)-algebras. Mat. Vesnik 66(2), 125–132 (2014)

    MathSciNet  MATH  Google Scholar 

  12. Kim, H.S., Park, H.G.: On \(0\)-commutative \(B\)-algebras. Sci. Math. Japonicae 62, 31–36 (2005)

    MATH  Google Scholar 

  13. Neggers, J., Kim, H.S.: A fundamental theorem of \(B\)-homomorphism for \(B\)-algebras. Int. Mat. J. 2(3), 207–214 (2002)

    MathSciNet  MATH  Google Scholar 

  14. Neggers, J., Kim, H.S.: On \(B\)-algebras. Mat. Vesnik 54, 21–29 (2002)

    MathSciNet  MATH  Google Scholar 

  15. Soleimani, R., Jahangiri, S.: A note on \(t\)-derivations of \(B\)-algebras. J. Math. Comput. Sci. 10(2), 138–143 (2014)

    Google Scholar 

  16. Walendziak, A.: A note on normal subalgebras in \(B\)-algebras. Sci. Math. Japonicae 49–53 (2005)

  17. Walendziak, A.: Some axiomatizations of \(B\)-algebras. Math. Slovaca 56, 301–306 (2006)

    MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

The author wish to thank the reviewers for their excellent suggestions and comments that have been incorporated into this paper. This research was financially supported by the University of Payame Noor.

Author information

Authors and Affiliations

  1. Department of Mathematics, Payame Noor University (PNU), 19395-3697, Tehran, Iran

    Rasoul Soleimani

Authors
  1. Rasoul Soleimani
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Rasoul Soleimani.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Soleimani, R. A note on automorphisms of finite B-algebras. Afr. Mat. 29, 263–275 (2018). https://doi.org/10.1007/s13370-017-0540-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13370-017-0540-6

Keywords

Mathematics Subject Classification

Search

Navigation