Mathematical Research Papers on Bernstein algebras  

Holgate, P. Genetic algebras satisfying Bernstein's stationarity principle Journal of London Math. Soc (2) 9:(1975) 613-623 (article) (REVIEW)

Lyubich, Yu. I. A Classification of some types of Bernstein algebras Selecta Mathematica Sovietica 6 1987 1-14 (scanned article) (NO REVIEW)

Worz-Busekros, Angelika Bernstein algebras. Arch. Math. (Basel) 48 (1987), no. 5, 388-398. (article) (REVIEW)

Walcher, Sebastian Bernstein algebras which are Jordan algebras. Arch. Math. (Basel) 50 (1988), no. 3, 218-222. (article) (REVIEW)

Hentzel, I. R.; Peresi, L. A. Semi-prime Bernstein algebras. Arch. Math. (Basel) 52 (1989), no. 6, 539-543. (article) (REVIEW)

Alcalde, Maria Teresa; Baeza, Rodolfo; Burgueno, Cesar Autour des algebres de Bernstein. (French) [Concerning Bernstein algebras] Arch. Math. (Basel) 53 (1989), no. 2, 134-140. (article) (REVIEW)

Alcalde, M. T.; Burgueno, C.; Labra, A.; Micali, A. Sur les algebres de Bernstein. (French) [On Bernstein algebras] Proc. London Math. Soc. (3) 58 (1989), no. 1, 51-68. (article) (REVIEW)

I.R. Hentzel, L.A. Peresi, and P. Holgate, On k-th order Bernstein algebras and stability at the k+1 generation in polyploids, IMA J. of Math. Appl. in Med. and Biology 7 33-40 1990 (article) (REVIEW)

Gonzalez, S.; Martinez, C. Idempotent elements in a Bernstein algebra. J. London Math. Soc. (2) 42 (1990), no. 3, 430-436. (article) (REVIEW)

Cortes, Teresa Classification of 4-dimensional Bernstein algebras. Commun. in Algebra 19(5) (1991) 1429-1443. (article) (REVIEW)

Micali, Artibano; Ouattara, Moussa Dupliquee d'une algebre et le theoreme d'Etherington. (French) [Duplication of an algebra and Etherington's theorem] Linear Algebra Appl. 153 (1991), 193-207. (article) (REVIEW)

Mallol, Cristian; Micali, Artibano; Ouattara, Moussa Sur les algebres de Bernstein. IV. (French) [On Bernstein algebras. IV] Linear Algebra Appl. 158 (1991), 1-26. (article) (REVIEW)

Cortes, Teresa Bernstein algebras: lattice isomorphisms and isomorphisms. Nonassociative algebraic models (Zaragoza, 1989), 69-89, Nova Sci. Publ., Commack, NY, 1992 (article) (REVIEW)

Walcher, Sebastian On Bernstein algebras which are train algebras. Proc. Edinburgh Math. Soc. (2) 35 (1992), no. 1, 159-166. (article) (REVIEW)

Labra, Alicia; Mallol, Cristian; Micali, Artibano; Varro, Richard Sur les algebres de Bernstein. V. Les algebres de Bernstein Jordan faibles. (French) [On Bernstein algebras. V. Weak Jordan Bernstein algebras] Proc. Edinburgh Math. Soc. (2) 35 (1992), no. 3, 359-373. (article) (REVIEW)

Gradl, H.; Walcher, S. On continuous time models in genetic and Bernstein algebras. J. Math. Biol. 31 (1992), no. 1, 107-113. (article) (REVIEW)

Gonzalez, S.; Martinez, C. On Bernstein algebras. Non-associative algebra and its applications (Oviedo, 1993), 164-170, Math. Appl., 303, Kluwer Acad. Publ., Dordrecht, 1994. (article) (REVIEW)

Cortes, Teresa Modular Bernstein algebras. J. Algebra 163 (1994), no. 1, 191-206 (article) (REVIEW)

Cortes, Teresa; Montaner, Fernando On the structure of Bernstein algebras. J. London Math. Soc. (2) 51 (1995), no. 1, 41-52. (article) (REVIEW)

Cortes, Teresa; Montaner, Fernando Low-dimensional Bernstein-Jordan algebras. J. London Math. Soc. (2) 51 (1995), no. 1, 53-61. (article) (REVIEW)

Mallol, C.; Varro, R. A propos des algebres verifiant x[3]=w(x)3x. (French) [On algebras satisfying x[3]=w(x)3x Linear Algebra Appl. 225 (1995), 187-194. (article) (REVIEW)

Burgueno, C.; Mallol, C. Morphismes de Peirce et orthogonalite dans les algebres de Bernstein. (French) [Peirce morphisms and orthogonality in Bernstein algebras] Linear Algebra Appl. 219 (1995), 179-186. (article) (REVIEW)

Martinez, C. On nuclear Jordan-Bernstein algebras. J. Algebra 174 (1995), no. 2, 453-472. (article) (REVIEW)

Gutierrez Fernandez, J. Carlos The Bernstein problem in dimension 6. J. Algebra 185 (1996), no. 2, 420-439. (article) (REVIEW)

Fernandez, J. Carlos Gutierrez Structure of Bernstein Populations of Type (3,n-3) Linear Algebra and its Applications 269 (1998), 17-32. (article) (REVIEW)

Costa, R.; Ikemoto, L. S.; Suazo, A. On the multiplication algebra of a Bernstein algebra. Comm. Algebra 26 (1998), no. 11, 3727-3736. (article) (REVIEW)

Bayara, Joseph Sur les algebres d'Evolution, Thesis 1999 62pp (article)

Gonzalez, S.; Lopez-Diaz, M. C.; Martinez, C.; Shestakov, Ivan P. Bernstein superalgebras and supermodules. J. Algebra 212 (1999), no. 1, 119-131. (article) (REVIEW)

Lopez-Diaz, M. Concepcion; Shestakov Ivan P.; Sergei R. Sverchkov On speciality of Bernstein Jordan algebras. Communications in Algebra, 2000 15pp (article) (NO REVIEW)