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pro vyhledávání: '"Richard Varro"'
Autor:
Richard Varro
Publikováno v:
Journal of Algebra
Journal of Algebra, Elsevier, 2020, 564, pp.49-97. ⟨10.1016/j.jalgebra.2020.08.006⟩
Journal of Algebra, Elsevier, 2020, 564, pp.49-97. ⟨10.1016/j.jalgebra.2020.08.006⟩
Peirce-evanescent baric identities are polynomial identities verified by baric algebras such that their Peirce polynomials are the null polynomial. In this paper procedures for constructing such homogeneous and non homogeneous identities are given. F
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60d5fbf8751ecf8c05d8385829198219
https://hal.archives-ouvertes.fr/hal-03228821
https://hal.archives-ouvertes.fr/hal-03228821
Autor:
Richard Varro
Publikováno v:
Communications in Algebra
Communications in Algebra, Taylor & Francis, 2020, 49 (2), pp.590-613. ⟨10.1080/00927872.2020.1812620⟩
Communications in Algebra, Taylor & Francis, 2020, 49 (2), pp.590-613. ⟨10.1080/00927872.2020.1812620⟩
International audience; We are interested in the evolution operators defined on commutative and non-associative algebras when the characteristic of the scalar field is 2. We distinguish four types: nilpotent, quasi-constant, ultimately periodic, and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::718cac35ac83125a72941d1db10aa8a6
https://hal.archives-ouvertes.fr/hal-03228815
https://hal.archives-ouvertes.fr/hal-03228815
Autor:
Richard Varro, Cristián Mallol
Publikováno v:
Journal of Algebra
Journal of Algebra, Elsevier, 2015, 427, pp.1-19. ⟨10.1016/j.jalgebra.2014.12.030⟩
Journal of Algebra, Elsevier, 2015, 427, pp.1-19. ⟨10.1016/j.jalgebra.2014.12.030⟩
We generalize the gametization process introduced in [5] . For this we use not necessarily convex linear combinations of a baric algebra ( A , ω ) with the gametic algebra defined by the weight ω , we call these combinations homogametizations. Afte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57da23e0faf3c35e1936668817ea7b69
https://doi.org/10.1016/j.jalgebra.2014.12.030
https://doi.org/10.1016/j.jalgebra.2014.12.030
Autor:
Cristián Mallol, Richard Varro
Publikováno v:
Communications in Algebra
Communications in Algebra, Taylor & Francis, 2017, 45, pp.3486-3493. ⟨10.1080/00927872.2016.1237639⟩
Communications in Algebra, Taylor & Francis, 2017, 45, pp.3486-3493. ⟨10.1080/00927872.2016.1237639⟩
International audience; We study the relationship of backcrossing algebras with mutation algebras and algebras satisfying ω-polynomial identities: we show that in a backcrossing algebra every element of weight 1 generates a mutation algebra and that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85fc119c4e5b5b1493e31cab65479cb8
https://hal.archives-ouvertes.fr/hal-03229611
https://hal.archives-ouvertes.fr/hal-03229611
Autor:
Richard Varro, Michelle Nourigat et
Publikováno v:
Communications in Algebra
Communications in Algebra, Taylor & Francis, 2013, 41 (8), pp.2825-2851. ⟨10.1080/00927872.2012.665532⟩
Communications in Algebra, Taylor & Francis, 2013, 41 (8), pp.2825-2851. ⟨10.1080/00927872.2012.665532⟩
We continue the study of the algebras satisfying an identity of the shape aX2X2 + bX4 − λX3 − μX2 − νX, we introduce here the case a + b = 1, ab ≠ 0, λ = 2, and μ + ν = −1. By studying a 26 × 27 linear system, we show that this class
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c5aefd25858468ef953d210fb693555
https://doi.org/10.1080/00927872.2012.665532
https://doi.org/10.1080/00927872.2012.665532
Autor:
Cristián Mallol, Richard Varro
Publikováno v:
Journal of Algebra
Journal of Algebra, Elsevier, 2013, 375, pp.22-32. ⟨10.1016/j.jalgebra.2012.11.019⟩
Journal of Algebra, Elsevier, 2013, 375, pp.22-32. ⟨10.1016/j.jalgebra.2012.11.019⟩
The gametization process reduces the study of non-commutative and non-associative algebras satisfying non-homogeneous polynomial identities with variables in X = { x 1 , … , x n } to algebras verifying simpler identities. However after a gametizati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6332347419eae3da8830efef4d1e23cb
https://doi.org/10.1016/j.jalgebra.2012.11.019
https://doi.org/10.1016/j.jalgebra.2012.11.019
Autor:
Cristián Mallol, Richard Varro
Publikováno v:
Communications in Algebra
Communications in Algebra, Taylor & Francis, 2016, 45, pp.3555-3586. ⟨10.1080/00927872.2016.1238478⟩
Communications in Algebra, Taylor & Francis, 2016, 45, pp.3555-3586. ⟨10.1080/00927872.2016.1238478⟩
International audience; We study the ideal of polynomial identities of a single indeterminate satisfied by all backcrossing algebras. For this we distinguish two categories according to whether or not these algebras satisfy an identity for the plenar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7d24e0c61923fec636041b9b273cf45
https://hal.archives-ouvertes.fr/hal-03230391
https://hal.archives-ouvertes.fr/hal-03230391
Autor:
Utkir A. Rozikov, Richard Varro
Publikováno v:
Discontinuity, Nonlinearity, and Complexity
Discontinuity, Nonlinearity, and Complexity, L & H Scientific Publishing, 2016, 5, pp.173-185. ⟨10.5890/dnc.2016.06.007⟩
Discontinuity, Nonlinearity, and Complexity, L & H Scientific Publishing, 2016, 5, pp.173-185. ⟨10.5890/dnc.2016.06.007⟩
International audience; In this paper we consider discrete-time dynamical systems generated by gonosomal evolution operators of sex linked inheritance. Mainly we study dynamical systems of a hemophilia, which biologically is a group of hereditary gen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d386e0cddd650be7ef32a8f7f8f30c0
https://hal.archives-ouvertes.fr/hal-03229619
https://hal.archives-ouvertes.fr/hal-03229619
Autor:
Richard Varro
Publikováno v:
Communications in Algebra
Communications in Algebra, Taylor & Francis, 2012, 40, pp.2426-2448. ⟨10.1080/00927872.2011.578605⟩
Communications in Algebra, Taylor & Francis, 2012, 40, pp.2426-2448. ⟨10.1080/00927872.2011.578605⟩
International audience; We give the identities generating the spaces of degree 4 multilinear identities satisfied by the non commutative 0th-order Bernstein algebras and the non commutative mutation algebras. For it, we use a method reducing the sear
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26b7440e36670dd54eeedfb3bb641aeb
https://doi.org/10.1080/00927872.2011.578605
https://doi.org/10.1080/00927872.2011.578605
Autor:
Michelle Nourigat, Richard Varro
Publikováno v:
Discrete & Continuous Dynamical Systems - S. 4:1543-1551
The existence of idempotent elements in baric algebras defined by $\omega$-polynomial identities ($\omega$-PI algebras) is an important problem for the study of genetic algebras. We conjecture here two criteria on the existence of an idempotent. Thes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0bbc3e4d118190fad7332bd8e9f01714
https://doi.org/10.3934/dcdss.2011.4.1543
https://doi.org/10.3934/dcdss.2011.4.1543