| Title:
|
Genetické algebry. Věnováno prof. RNDr. Ladislavu Procházkovi, DrSc., k jeho 75. narozeninám (Czech) |
| Title:
|
Genetic algebras. Devoted to Professor RNDr. Ladislav Procházka, DrSc., to his 75th birthday (English) |
| Author:
|
Katrnoška, František |
| Language:
|
Czech |
| Journal:
|
Pokroky matematiky, fyziky a astronomie |
| ISSN:
|
0032-2423 |
| Volume:
|
50 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
62-74 |
| . |
| Category:
|
math |
| . |
| Keyword:
|
genetic algebra |
| Keyword:
|
population genetics |
| Keyword:
|
Jordan algebra |
| MSC:
|
17D92 |
| MSC:
|
92D10 |
| idZBL:
|
Zbl 1265.17033 |
| . |
| Date available:
|
2010-12-11T20:53:38Z |
| Last updated:
|
2015-11-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141254 |
| . |
| Reference:
|
[1] Beier, W.: Biophysik.VEB Georg Thieme, Leipzig 1960. |
| Reference:
|
[2] Bernstein, S.: Demonstration mathematique de la loi d’heredité de Mendel.C. R. Acad. Sci. Paris 177 (1923), 528–531. |
| Reference:
|
[3] Drozd Kiričenko, Ju.: Koněčnomernyje algebry.Kiev 1980. |
| Reference:
|
[4] Etherington, I. M. H.: Genetic algebras.Proc. Roy. Soc. Edinburgh 59 (1939), 242–258. Zbl 0027.29402, MR 0000597 |
| Reference:
|
[5] Etherington, I. M. H.: Special train algebras.Quart. J. Math. 12 (1941), 1–8. Zbl 0027.29401, MR 0005111 |
| Reference:
|
[6] Etherington, I. M. H.: Nonassociative algebra and the symbolism of genetics.Proc. Roy Soc. Edinburgh 61 (1941), 24–42. MR 0003557 |
| Reference:
|
[7] Etherington, I. M. H.: Duplication of linear algebras.Proc. Edinburgh Math. Soc. Ser. 2 6 (1941), 222–230. MR 0005113 |
| Reference:
|
[8] Glivenko, V. I.: Mendělevskaja algebra.Dokl. Akad. Nauk 13 (1936), 371–372. |
| Reference:
|
[9] Gonshor, H.: Special train algebras arising in genetics.Proc. Edinburgh Math. Soc. Ser. 2 12 (1960), 41–63. Zbl 0249.17003, MR 0124367 |
| Reference:
|
[10] Heuch, I.: Genetic algebras considered as elements in a vector space.Siam J. Appl. 35 (1978), 695–703. Zbl 0392.17013, MR 0512179, 10.1137/0135058 |
| Reference:
|
[11] Hogben, L.: An introduction to mathematical genetics.Norton, New York 1946. MR 0019906 |
| Reference:
|
[12] Holgate, P.: Jordan algebras arising in population genetics.Proc. Edinburgh Math. Soc. 15 (1967), 291–294. Zbl 0153.36304, MR 0223420 |
| Reference:
|
[13] Holgate, P.: Characterization of genetic algebras.J. London Math. Soc. 6 (1972), 169–174. MR 0314930 |
| Reference:
|
[14] Hungerford, T. V.: Algebra.Springer-Verlag, New York-Heidelberg-Berlin 1980. Zbl 0442.00002, MR 0600654 |
| Reference:
|
[15] Jordan, P.: Über Verallgeneinerungsmöglichkeiten des Formalismus der Quantenmechanik.Nachr. Ges. Wiss. Göttingen (1933), 209–214. |
| Reference:
|
[16] Jordan, P., Neumann, J., Wigner, E.: On an algebraic generalization of the quantum mechanical formalism.Ann. Math. 35 (1934), 29–64. Zbl 0061.05302, MR 1503141, 10.2307/1968117 |
| Reference:
|
[17] Katrnoška, F: Logics that are generated by idempotents.Lobachevskii J. Math. 15 (2004), 11–19. Zbl 1060.15018, MR 2120697 |
| Reference:
|
[18] Katrnoška, F., Křížek, M.: Genetický kód a teorie monoidů aneb 50 let od objevu struktury DNA.PMFA 48 (2003), 207–222. |
| Reference:
|
[19] Katrnoška, F., Křížek, M.: Významné milníky matematické genetiky.Matematika–fyzika–informatika 14 (2004/05), 1–12. |
| Reference:
|
[20] Ljubič, Ju. I.: Osnovnyje poňatia i teoremy evoljucionnoj genetiki svobodnych populacii.Uspekhi Mat. Nauk 161 (1971), 51–116. |
| Reference:
|
[21] Ljubič, Ju. I.: Bernštejnovskije algebry.Uspekhi Mat. Nauk 32 (1977), 261–262. |
| Reference:
|
[22] Ljubič, Ju. I.: Stochastičeskije algebry i někotoryje primeněnija v matematičeskoj genetike.In: Matematičeskije Metody v Biologii, Naukova dumka, Kiev 1977, 119–131. |
| Reference:
|
[23] Ljubič, Ju. I.: Algebraic methods in evolutionary genetics.Biomath. J. 20 (1978), 511–529. MR 0529790 |
| Reference:
|
[24] Ljubič, Ju. I.: Matematičeskije struktury v populacionnoj genetike.Naukova dumka, Kiev 1983. |
| Reference:
|
[25] Raffin, R.: Axiomatization des algebres genetiques.Bull. V. Sci., Acad. Roy. Belg. 17 (1951), 359–366. MR 0042400 |
| Reference:
|
[26] Reiersöl, O.: Genetic algebras studied recursively and by means of differential operators.Math. Scand. (1962), 25–44. MR 0137740 |
| Reference:
|
[27] Revoy, N.: Cube magique, La perfection a été atteinte.Science et Vie, Mars (2004), 66–68. |
| Reference:
|
[28] Rybnikov, K. A.: Vvěděnije v kombinatornyj analiz.Izd. Moskovskogo Universiteta, Moskva 1985. MR 0812275 |
| Reference:
|
[29] Schafer, R. D.: Structure of genetic algebras.Amer. J. Math. 71 (1949), 121–135. Zbl 0034.02004, MR 0027751 |
| Reference:
|
[30] Schafer, R. D.: An introduction to nonassociative algebras.Academic Press, New York-London 1966. Zbl 0145.25601, MR 0210757 |
| Reference:
|
[31] Thompson, J. S., Thompson, M. W.: Genetics in medicine.W. B. Saunders Company, Philadelphia 1986, 2001. |
| Reference:
|
[32] Wörz-Busekros, A.: Algebras in genetics.Springer-Verlag, Berlin 1980. MR 0599179 |
| Reference:
|
[33] Želazko, W.: Banach algebras.Elsevier, Amsterdam 1973. MR 0448079 |
| Reference:
|
[34] Želazko, W.: A characterization of multiplicative linear functionals in complex Banach algebras.Studia Math. 30 (1968), 83–85. MR 0229042 |
| . |
