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International Journal of Mathematics and Mathematical Sciences
Volume 2013, Article ID 376915, 4 pages
http://dx.doi.org/10.1155/2013/376915
Research Article

Partial Actions and Power Sets

1Departamento de Matemáticas y Estadística, Universidad del Tolima, Ibagué, Colombia
2Departamento de Matemática, Universidade Federal de Santa Maria, Santa Maria, RS, Brazil

Received 4 October 2012; Accepted 26 December 2012

Academic Editor: Stefaan Caenepeel

Copyright © 2013 Jesús Ávila and João Lazzarin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. Exel, “Partial actions of groups and actions of inverse semigroups,” Proceedings of the American Mathematical Society, vol. 126, no. 12, pp. 3481–3494, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. F. Abadie, “Enveloping actions and Takai duality for partial actions,” Journal of Functional Analysis, vol. 197, no. 1, pp. 14–67, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. M. Dokuchaev and R. Exel, “Associativity of crossed products by partial actions, enveloping actions and partial representations,” Transactions of the American Mathematical Society, vol. 357, no. 5, pp. 1931–1952, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. J. Ávila, M. Ferrero, and J. Lazzarin, “Partial actions and partial fixed rings,” Communications in Algebra, vol. 38, no. 6, pp. 2079–2091, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. M. Ferrero and J. Lazzarin, “Partial actions and partial skew group rings,” Journal of Algebra, vol. 319, no. 12, pp. 5247–5264, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet