Araştırma Makalesi

On BHK-Algebras

Cilt: 2 Sayı: 3 31 Aralık 2020
PDF İndir
TR

On BHK-Algebras

Öz

In this work, the concept of BHK-algebras that is a generalization of d-algebras is established, and a survey of relations between BHK-algebras and d-algebras is made. Algebraical properties of BHK-algebras are derived and some discussions on the cases for a BHK-algebra to be a d-algebra is given. Additionally, twin ideal is given as a new concept and the quotient BHK-algebras is obtained. Also, the concept of derivation on BHK-algebras is defined and the features of the derivations are studied.

Anahtar Kelimeler

Kaynakça

  1. Reference1 Ates, C. , Frat, A., Quotient of Pseudo d-Algebras, Romanian Journal Of Mathematics and Computer Science,2019, Volume 9, Issue 2, p.113-120.
  2. Reference2 Bell, H. E., and Kappe, L. C. , Rings in which derivations satisfy certain algebraic conditions, Acta Mathematica Hungarica, vol. 53, no. 3-4, pp. 339-346, 1989. https: //doi.org/10.1007/BF01953371.
  3. Reference3 Georgescu, G. , Iorgulescu, A. , Pseudo BCK-algebras: An extension of BCK-algebras, in: Proc. DMTCS01: Combinatorics, Computability and Logics, Springer, London, 2001, pp. 97114.
  4. Reference4 Henkin, L. , An algebraic characterization of quanti_ers, Fund. Math. 37 (1950), 63-74.
  5. Reference5 Imai, Y. and Iseki, K. , On axiom systems of propositional calculi, Proc. Japan Acad. 42 (1966), 19-22.
  6. Reference6 Iseki, K. , On BCI- algebras, Math. Semin. Notes, Kobe Univ. 8 (1980), 125-130.
  7. Reference7 Jun Y.B. , Kim H.S. and J. Neggers, Pseudo d-algebras, Information Sciences 179 (2009) 1751-1759.
  8. Reference8 Kaya, K. , Prime rings with-derivations, Hacettepe Bulletin of Natural Sciences and Engineering, vol. 16, pp. 63-71, 1988.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Aralık 2020

Gönderilme Tarihi

28 Temmuz 2020

Kabul Tarihi

5 Kasım 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 2 Sayı: 3

Kaynak Göster

APA
Ayar Özbal, Ş. (2020). On BHK-Algebras. ALKÜ Fen Bilimleri Dergisi, 2(3), 111-119. https://izlik.org/JA67JA47BF
AMA
1.Ayar Özbal Ş. On BHK-Algebras. ALKÜ Fen Bilimleri Dergisi. 2020;2(3):111-119. https://izlik.org/JA67JA47BF
Chicago
Ayar Özbal, Şule. 2020. “On BHK-Algebras”. ALKÜ Fen Bilimleri Dergisi 2 (3): 111-19. https://izlik.org/JA67JA47BF.
EndNote
Ayar Özbal Ş (01 Aralık 2020) On BHK-Algebras. ALKÜ Fen Bilimleri Dergisi 2 3 111–119.
IEEE
[1]Ş. Ayar Özbal, “On BHK-Algebras”, ALKÜ Fen Bilimleri Dergisi, c. 2, sy 3, ss. 111–119, Ara. 2020, [çevrimiçi]. Erişim adresi: https://izlik.org/JA67JA47BF
ISNAD
Ayar Özbal, Şule. “On BHK-Algebras”. ALKÜ Fen Bilimleri Dergisi 2/3 (01 Aralık 2020): 111-119. https://izlik.org/JA67JA47BF.
JAMA
1.Ayar Özbal Ş. On BHK-Algebras. ALKÜ Fen Bilimleri Dergisi. 2020;2:111–119.
MLA
Ayar Özbal, Şule. “On BHK-Algebras”. ALKÜ Fen Bilimleri Dergisi, c. 2, sy 3, Aralık 2020, ss. 111-9, https://izlik.org/JA67JA47BF.
Vancouver
1.Şule Ayar Özbal. On BHK-Algebras. ALKÜ Fen Bilimleri Dergisi [Internet]. 01 Aralık 2020;2(3):111-9. Erişim adresi: https://izlik.org/JA67JA47BF