Araştırma Makalesi

Direct Product of Bitonic Algebras

Cilt: 12 Sayı: 1 30 Haziran 2022
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Direct Product of Bitonic Algebras

Öz

The purpose of this study is to construct the concept of direct product of bitonic algebras, and investigate some respective features. Also, the concept of direct product of commutative bitonic algebras, bitonic homomorphism are studied. Then the notion of direct product of bitonic algebras is expanded to finite family of bitonic algebras and their qualifications are practised.

Anahtar Kelimeler

Kaynakça

  1. [1] Komori, Y., The class of BCC-algebras is not variety, Mathematica Japonica, 29 (3), 391-394, 1984.
  2. [2] Dudek, W.A., The number of subalgebras of finite BCC-algebras, Bulletin of the Institute of Mathematics, 20 (2), 129-135, 1992.
  3. [3] Iseki, K., An algebra related with a propositional calculus, Proceedings of the Japan Academy, 42 (1), 26-29, 1966.
  4. [4] Iseki, K., Tanaka, S., An Introduction to the theory of BCK-algebras, Mathematica Japonica, 23, 1-26, 1978.
  5. [5] Borzooei, R.A., Khosravi Shoar, S., Implication algebras are equivalent to the dual implicative BCK-algebras, Scientiae Mathematicae Japonicae, 63 (3), 429-431, 2006.
  6. [6] Kim, K.H., Yon, Y.H., Dual BCK-algebra and MV-algebra, Scientiae Mathematicae Japonicae, 66 (2), 247-253, 2007.
  7. [7] Yon, Y.H., Kim, K.H., On Heyting algebras and dual BCK-algebras, Bulletin of the Iranian Mathematical Society, 38 (1), 159-168, 2012.
  8. [8] Diego, A., Sur lès algèbres de Hilbert, Collection de Logique Mathématique, Sèr. A., 21, 1966.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Haziran 2022

Gönderilme Tarihi

3 Ocak 2022

Kabul Tarihi

21 Nisan 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 12 Sayı: 1

Kaynak Göster

APA
Ayar Özbal, Ş. (2022). Direct Product of Bitonic Algebras. Adıyaman University Journal of Science, 12(1), 56-69. https://doi.org/10.37094/adyujsci.1049322
AMA
1.Ayar Özbal Ş. Direct Product of Bitonic Algebras. ADYU J SCI. 2022;12(1):56-69. doi:10.37094/adyujsci.1049322
Chicago
Ayar Özbal, Şule. 2022. “Direct Product of Bitonic Algebras”. Adıyaman University Journal of Science 12 (1): 56-69. https://doi.org/10.37094/adyujsci.1049322.
EndNote
Ayar Özbal Ş (01 Haziran 2022) Direct Product of Bitonic Algebras. Adıyaman University Journal of Science 12 1 56–69.
IEEE
[1]Ş. Ayar Özbal, “Direct Product of Bitonic Algebras”, ADYU J SCI, c. 12, sy 1, ss. 56–69, Haz. 2022, doi: 10.37094/adyujsci.1049322.
ISNAD
Ayar Özbal, Şule. “Direct Product of Bitonic Algebras”. Adıyaman University Journal of Science 12/1 (01 Haziran 2022): 56-69. https://doi.org/10.37094/adyujsci.1049322.
JAMA
1.Ayar Özbal Ş. Direct Product of Bitonic Algebras. ADYU J SCI. 2022;12:56–69.
MLA
Ayar Özbal, Şule. “Direct Product of Bitonic Algebras”. Adıyaman University Journal of Science, c. 12, sy 1, Haziran 2022, ss. 56-69, doi:10.37094/adyujsci.1049322.
Vancouver
1.Şule Ayar Özbal. Direct Product of Bitonic Algebras. ADYU J SCI. 01 Haziran 2022;12(1):56-69. doi:10.37094/adyujsci.1049322