Research Article

Generalized Derivations of Hyperlattices

Volume: 40 Number: 2 June 30, 2019
Seda Oğuz Ünal *, Hasret Durna *
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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

Generalized derivations,Hyperlattice

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.
  9. [9] Mittas, M. Konstantinidou, Sur unenouvellegeneration de la notion de treillis,Lessupertreilliset certaines de leursproprietiesgenerales,AnnSciUnivBlaise Pascal Ser Math, 25 (1989) 61–83.
  10. [10] Xiaozhi Guo, Xiaolong Xin, Hyperlattices, Pure and Applied Mathematics (Xi’an) 20 (2004) 40–43.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

June 30, 2019

Submission Date

April 11, 2018

Acceptance Date

March 4, 2019

Published in Issue

Year 2019 Volume: 40 Number: 2

DOI

https://doi.org/10.17776/csj.414343

IZ

https://izlik.org/JA36JZ84ET

Cite

RIS / Bibtex
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
AMA
1.Oğuz Ünal S, Durna H. Generalized Derivations of Hyperlattices. CSJ. 2019;40(2):299-304. doi:10.17776/csj.414343
Chicago
Oğuz Ünal, Seda, and Hasret Durna. 2019. “Generalized Derivations of Hyperlattices”. Cumhuriyet Science Journal 40 (2): 299-304. https://doi.org/10.17776/csj.414343.
EndNote
Oğuz Ünal S, Durna H (June 1, 2019) Generalized Derivations of Hyperlattices. Cumhuriyet Science Journal 40 2 299–304.
IEEE
[1]S. Oğuz Ünal and H. Durna, “Generalized Derivations of Hyperlattices”, CSJ, vol. 40, no. 2, pp. 299–304, June 2019, doi: 10.17776/csj.414343.
ISNAD
Oğuz Ünal, Seda - Durna, Hasret. “Generalized Derivations of Hyperlattices”. Cumhuriyet Science Journal 40/2 (June 1, 2019): 299-304. https://doi.org/10.17776/csj.414343.
JAMA
1.Oğuz Ünal S, Durna H. Generalized Derivations of Hyperlattices. CSJ. 2019;40:299–304.
MLA
Oğuz Ünal, Seda, and Hasret Durna. “Generalized Derivations of Hyperlattices”. Cumhuriyet Science Journal, vol. 40, no. 2, June 2019, pp. 299-04, doi:10.17776/csj.414343.
Vancouver
1.Seda Oğuz Ünal, Hasret Durna. Generalized Derivations of Hyperlattices. CSJ. 2019 Jun. 1;40(2):299-304. doi:10.17776/csj.414343

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