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On (Pre)crossed Modules Over Lie Algebras

Year 2013, Issue: 031, 47 - 52, 15.08.2013

Abstract

The construction of the coproduct of precrossed modules over Lie Algebras and the relation between epimorphisms and surjections are given.

References

  • [1] J.M. Casas, M. Ladra, T. Pirashvili, Crossed modules for Lie-Reinhart algebras, Journal of Algebra, 274, 192-201, (2004).
  • [2] G. J. Ellis, Homotopical aspects of Lie algebras, J. Ausral. Math. Soc. (Series A), 54, 393-419, (1993).
  • [3] G. Janelidze, L. Márki,W. Tholen, Semi-abelian categories, J. Pure Appl. Algebra, 168, (2002), 367-386.
  • [4] C. Kassel, J.L. Loday, Extensions centralesd’algébres de Lie, Ann. Ins. Fourier (Grenoble), 33, 119-142, (1982).
  • [5] Y. Sheng, D. Chen, Hom-Lie 2-algebras, Journal of Algebra, 376, 174-195, (2013).
  • [6] T. Porter, Homology of commutative algebras and an invariant of Simis and Vas-conceles,Journal of Algebra, 2, 99, (1987).
  • [7] J.H.C. Whitehead, Combinatorial Group Theory II, American Math. Soc., (1949).

Lie Cebirleri İçin (Ön)Çaprazlanmış Modüller Üzerine

Year 2013, Issue: 031, 47 - 52, 15.08.2013

Abstract

Liecebirleri üzerinde ön¸caprazlanmı¸s modüller kategorisinde eşçarpımların inşaası ve epimorfizmalar ve örten fonksiyonlar arasındaki ilişki verilmiştir.

References

  • [1] J.M. Casas, M. Ladra, T. Pirashvili, Crossed modules for Lie-Reinhart algebras, Journal of Algebra, 274, 192-201, (2004).
  • [2] G. J. Ellis, Homotopical aspects of Lie algebras, J. Ausral. Math. Soc. (Series A), 54, 393-419, (1993).
  • [3] G. Janelidze, L. Márki,W. Tholen, Semi-abelian categories, J. Pure Appl. Algebra, 168, (2002), 367-386.
  • [4] C. Kassel, J.L. Loday, Extensions centralesd’algébres de Lie, Ann. Ins. Fourier (Grenoble), 33, 119-142, (1982).
  • [5] Y. Sheng, D. Chen, Hom-Lie 2-algebras, Journal of Algebra, 376, 174-195, (2013).
  • [6] T. Porter, Homology of commutative algebras and an invariant of Simis and Vas-conceles,Journal of Algebra, 2, 99, (1987).
  • [7] J.H.C. Whitehead, Combinatorial Group Theory II, American Math. Soc., (1949).
There are 7 citations in total.

Details

Primary Language Turkish
Subjects Mathematical Sciences
Journal Section Articles
Authors

Ahmet Faruk Aslan

Publication Date August 15, 2013
Published in Issue Year 2013 Issue: 031

Cite

APA Aslan, A. F. (2013). Lie Cebirleri İçin (Ön)Çaprazlanmış Modüller Üzerine. Journal of Science and Technology of Dumlupınar University(031), 47-52.

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