Superior subalgebras and ideals of BCK/BCI-algebras

• Autorzy: Young Bae Jun , Seok Zun Song
• Języki publikacji: EN

Abstrakty

EN

The notions of superior subalgebras and (commutative) superior ideals are introduced, and their relations and related properties are investigated. Conditions for a superior ideal to be commutative are provided.

Słowa kluczowe

EN

superior mapping   superior subalgebra   (commutative) superior ideal  

Kategorie tematyczne

• 06F35: BCK-algebras, BCI-algebras
• 03G25: Other algebras related to logic
• 06A11: Algebraic aspects of posets

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2016
• Tom: 36
• Numer: 1
• Strony: 85-99

Daty

wydano

2016

otrzymano

2015-11-12

poprawiono

2016-01-31

Twórcy

autor

Young Bae Jun

• The Research Institute of Natural Science, Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

autor

Seok Zun Song

• Department of Mathematics, Jeju National University, Jeju 690-756, Korea

Bibliografia

• [1] J. D. Bashford and P. D. Jarvis, The genetic code as a peridic table: algebraic aspects, BioSystems 57 (2000), 147-161. doi: 10.1016/S0303-2647(00)00097-6
• [2] L. Frappat, A. Sciarrino and P. Sorba, Crystalizing the genetic code, J. Biological Physics 27 (2001), 1-34. doi: 10.1023/A:1011874407742
• [3] Y. Huang, BCI-algebra (Science Press, Beijing, 2006). ISBN 97-7-03-015411.
• [4] K. Iséki and S. Tanaka, An introduction to the theory of BCK-algebras, Math. Japonica 23 (1978), 1-26.
• [5] Y.B. Jun and S.Z. Song, Codes based on BCK-algebras, Inform. Sci. 181 (2011), 5102-5109. doi: 10.1016/j.ins.2011.07.006
• [6] M.K. Kinyon and A.A. Sagle, Quadratic dynamical systems and algebras, J. Diff. Equ. 117 (1995), 67-126. doi: 10.1006/jdeq.1995.1049
• [7] J. Meng, Commutative ideals in BCK-algebras, Pure Appl. Math. (in China) 9 (1991), 49-53.
• [8] J. Meng, On ideals in BCK-algebras, Math. Japonica 40 (1994), 143-154.
• [9] J. Meng and Y.B. Jun, BCK-algebras (Kyungmoon Sa Co. Seoul, 1994).
• [10] R. Sáanchez, R. Grau and E. Morgado, A novel Lie algebra of the genetic code over the Galois field of four DNA bases, Mathematical Biosciences 202 (2006), 156-174. doi: 10.1016/j.mbs.2006.03.017
• [11] J.J. Tian and B.L. Li, Coalgebraic structure of genetics inheritance, Mathematical Biosciences and Engineering 1 (2004), PMID: 20369970 [PubMed], 243-266.

Identyfikatory

DOI

10.7151/dmgaa.1245