Research Article

Generalized Derivations of Hyperlattices

Volume: 40 Number: 2 June 30, 2019
EN TR

Generalized Derivations of Hyperlattices

Abstract

In this paper the notion of generalized derivation for a hyperlattice is introduced and some basic properties of them are derived.

Keywords

References

  1. [1] F. Marty, Sur une generalization de la notion de groupe, 8th Congress Math. Scandinaves, Stockholm (1934) 45–49.
  2. [2] R. Ameri, M. Norouzi, New fundamental relation of hyperrings, European J. Combin. 34 (5) (2013) 884–891.
  3. [3] P. Corsini, V. Leoreanu, Applications of Hyperstructure Theory, Kluwer Academic Publishers, Dordrecht (2003).
  4. [4] J. Jantosciak, Transposition hypergroups: noncommutative join spaces. J. Algebra 187(1) (1997) 97–119.
  5. [5] J. Zhan, B. Davvaz, P. K. Shun, Probability n-arybypergroups, Information Science 180 (2010) 1159–1166.
  6. [6] R. Rosaria. Hyperaffine planes over hyperrings, Discrete Math. 155(1-3)(1996) 215–223.
  7. [7] J. Zhan, C. Irina,Γ-hypermodules:isomorphism theorems and regularrelations, U.P.B. Sci Bull, Ser. A 73 (2011) 71–78.
  8. [8] M. Konstantinidou, J. Mittas. An introduction to the theory of hyperlattices. Math. Balkanica,1977, 7: 187–193.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

June 30, 2019

Submission Date

April 11, 2018

Acceptance Date

March 4, 2019

Published in Issue

Year 2019 Volume: 40 Number: 2

APA
Oğuz Ünal, S., & Durna, H. (2019). Generalized Derivations of Hyperlattices. Cumhuriyet Science Journal, 40(2), 299-304. https://doi.org/10.17776/csj.414343

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December