Czasopismo
Tytuł artykułu
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Treść / Zawartość
Pełne teksty:
Warianty tytułu
Języki publikacji
Abstrakty
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
Kategorie tematyczne
Rocznik
Tom
Numer
Strony
85-99
Opis fizyczny
Daty
wydano
2016
otrzymano
2015-11-12
poprawiono
2016-01-31
Twórcy
autor
- The Research Institute of Natural Science, Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
autor
- 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.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1245