On generators of Peiffer ideal of a pre-R-algebroid in a precrossed module and applications

Keywords:

Algebroid crossed module, Peiffer ideal,

PDF

___

M. Alp, Pullback crossed modules of algebroids, Iran. J. Sci. Technol. (Sciences) 32 (1) (2008) 1–5.
M. Alp, Pushout crossed modules of algebroids, Iran. J. Sci. Technol. (Sciences) 32 (3) (2008) 175–181.
S. M. Amgott, Separable categories, J. Pure Appl. Algebra 40 (1986) 1–14.
O. Avcıoğlu, İ. İ. Akça, Free modules and crossed modules of R-algebroids, Under review.
O. Avcıoğlu, İ. İ. Akça, On pullback and induced crossed modules of R-algebroids, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 66 (2) (2017) 225-242.
O. Avcıoğlu, İ. İ. Akça, Coproduct of crossed modules of R-algebroids, presented in ’2nd International Conference on Advances in Natural and Applied Sciences, ICANAS 2017, Antalya, Turkey, April 18-21, 2017’.
H. J. Baues, D. Conduché, The central series for Peiffer commutators in groups with operators, J. Algebra 133 (1) (1990) 1–34.
R. Brown, J. Huebschmann, Identities among relations. Low dimensional topology (Bangor, 1979), London Math. Soc. Lecture Note Ser. 48, Cambridge Univ Press, Cambridge (1982) 153–202.
R. Brown, P. J. Higgins, R. Sivera, Nonabelian Algebraic Topology. EMS Tracts in Mathematics Vol.15, 2011.
B. Mitchell, Rings with several objects, Advances in Mathematics 8(1) (1972) 1-161.
B. Mitchell, Some applications of module theory to functor categories, Bull. Amer. Math. Soc. 84 (1978) 867– 885.
B. Mitchell, Separable Algebroids, Mem. Amer. Math. Soc. 57 (1985), no. 333, 96 pp.
G. H. Mosa, Higher dimensional algebroids and crossed complexes, PhD Thesis, University College of North Wales, Bangor, 1986.
N. M. Shammu, Algebraic and categorical structure of categories of crossed modules of algebras, PhD Thesis, University College of North Wales, Bangor, 1992.
R. Peiffer, ‘Über Identitäten zwischen Relationen’, Math. Ann. 121 (1949) 67–99.
J. H. C. Whitehead, On adding relations to homotopy groups, Annals of Mathematics 42 (2) (1941) 409–428.
J. H. C. Whitehead, Note on a previous paper entitled "On adding relations to homotopy groups.", Annals of Mathematics 47 (4) (1946) 806–810.