On (Pre)crossed Modules Over Lie Algebras

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

Ahmet Faruk Aslan

Abstract

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

Keywords

Lie Algebras

Lie Cebirleri İçin (Ön)Çaprazlanmış Modüller Üzerine

Abstract

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

Keywords

Lie Cebirleri

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).