Relevant bibliographies by topics / Antiautomorphismes

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  1. Journal articles
  2. Dissertations / Theses

Academic literature on the topic 'Antiautomorphismes'

Author: Grafiati
Published: 4 June 2021
Last updated: 18 February 2022

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Journal articles on the topic "Antiautomorphismes"

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López-Aguayo, Daniel, and Servando López Aguayo. "Antiautomorphisms and Biantiautomorphisms of Some Finite Abelian Groups." Symmetry 12, no. 2 (2020): 294. http://dx.doi.org/10.3390/sym12020294.

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We extend the concepts of antimorphism and antiautomorphism of the additive group of integers modulo n, given by Gaitanas Konstantinos, to abelian groups. We give a lower bound for the number of antiautomorphisms of cyclic groups of odd order and give an exact formula for the number of linear antiautomorphisms of cyclic groups of odd order. Finally, we give a partial classification of the finite abelian groups which admit antiautomorphisms and state some open questions.
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Chacron, M., and T. K. Lee. "Open questions concerning antiautomorphisms of division rings with quasi-generalized Engel conditions." Journal of Algebra and Its Applications 18, no. 09 (2019): 1950167. http://dx.doi.org/10.1142/s0219498819501676.

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Let [Formula: see text] be a noncommutative division ring with center [Formula: see text], which is algebraic, that is, [Formula: see text] is an algebraic algebra over the field [Formula: see text]. Let [Formula: see text] be an antiautomorphism of [Formula: see text] such that (i) [Formula: see text], all [Formula: see text], where [Formula: see text] and [Formula: see text] are positive integers depending on [Formula: see text]. If, further, [Formula: see text] has finite order, it was shown in [M. Chacron, Antiautomorphisms with quasi-generalised Engel condition, J. Algebra Appl. 17(8) (20
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3

Stacey, P. J. "Antiautomorphisms of $B(H)$." MATHEMATICA SCANDINAVICA 66 (June 1, 1990): 117. http://dx.doi.org/10.7146/math.scand.a-12296.

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Stacey, P. J. "Involutory *-antiautomorphisms on On." Mathematical Proceedings of the Cambridge Philosophical Society 111, no. 2 (1992): 319–23. http://dx.doi.org/10.1017/s0305004100075411.

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Let n ℕ{1} and let S1, , Sn be isometries on an infinite-dimensional Hilbert space such that for each i and . It was shown in 1 that the C*-algebra On generated by S1, , Sn is an infinite simple C*-algebra which is, up to isomorphism, independent of the choice of isometries satisfying the given relations. If is a unital *-endomorphism of On then, as shown in 2, is a unitary determining by the equations (Si) = w*Si and each unitary arises in this way.
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Chacron, Maurice. "Generalized power commuting antiautomorphisms." Communications in Algebra 49, no. 11 (2021): 5017–26. http://dx.doi.org/10.1080/00927872.2021.1935985.

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Stacey, P. J. "Involutory *-antiautomorphisms in Toeplitz algebras." Mathematical Proceedings of the Cambridge Philosophical Society 103, no. 3 (1988): 473–80. http://dx.doi.org/10.1017/s0305004100065075.

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Let H be a separable complex Hilbert space with orthonormal basis {ei: i ∈ ℕ}, let s be the unilateral shift defined by sei = ei+1 for each i and let K be the algebra of compact operators on H. The present paper classifies the involutory *-anti-automorphisms in the C*-algebra C*(sn, K) generated by K and a positive integral power sn of s. It is shown that, up to conjugacy by *-automorphisms, there are two such involutory *-antiautomorphisms when n is even and one when n is odd.
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Cortella, Anne. "Algèbre de Clifford d'un antiautomorphisme." Journal of Algebra 314, no. 1 (2007): 252–66. http://dx.doi.org/10.1016/j.jalgebra.2007.03.011.

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8

Pierre, Christian. "Endomorphism from Galois antiautomorphism." Bulletin of the Belgian Mathematical Society - Simon Stevin 2, no. 4 (1995): 435–45. http://dx.doi.org/10.36045/bbms/1103408699.

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Carnes, Neil P., Anne Dye, and James F. Reed. "Cyclic antiautomorphisms of directed triple systems." Journal of Combinatorial Designs 4, no. 2 (1996): 105–15. http://dx.doi.org/10.1002/(sici)1520-6610(1996)4:2<105::aid-jcd3>3.0.co;2-j.

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10

Chacron, M. "Antiautomorphisms with quasi-generalized Engel condition." Journal of Algebra and Its Applications 17, no. 08 (2018): 1850145. http://dx.doi.org/10.1142/s0219498818501451.

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Let [Formula: see text] be a ring with 1. Given elements [Formula: see text], [Formula: see text] of [Formula: see text] and the integer [Formula: see text] define [Formula: see text] and [Formula: see text]. We say that a given antiautomorphism [Formula: see text] of [Formula: see text] is commuting if [Formula: see text], all [Formula: see text]. More generally, assume that [Formula: see text] satisfies the condition [Formula: see text] where [Formula: see text], [Formula: see text] are corresponding positive integers depending on [Formula: see text], and [Formula: see text] ranges over [For
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Dissertations / Theses on the topic "Antiautomorphismes"

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Cortella, Anne. "Antiautomorphismes d'algèbres et objets reliés." Habilitation à diriger des recherches, Université de Franche-Comté, 2010. http://tel.archives-ouvertes.fr/tel-00497746.

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Ce mémoire porte sur l'étude des antiautomorphismes d'algèbres et en particulier sur les antiautomorphismes linéaires d'algèbres centrales simples (sur un corps commutatif). Si l'algèbre est une algèbre de matrices, alors un tel antiautomorphisme est l'adjonction pour une forme bilinéaire. Ainsi la classification des antiautomorphismes linéaires (resp. de type II) à isomorphisme près est une généralisation de celle des formes bilinéaires (resp. sesquilinéaires) à similitude près. Dans la première partie, on définit la notion d'asymétrie d'une forme sesquilinéaire, et on étudie les éléments d'u
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Sobkowiak, Jessica. "Some combinatorial structures constructed from modular Leonard triples." [Tampa, Fla] : University of South Florida, 2009. http://purl.fcla.edu/usf/dc/et/SFE0002978.

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