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Aynı tabanlı 2-çaprazlanmış modüller üzerinde tamlık

Year 2017, , 1210 - 1220, 01.12.2017
https://doi.org/10.16984/saufenbilder.295208

Abstract

Aynı tabanlı 2-çaprazlanmış modüllerin
kategorisinde herhangi bir
 morfizmi alınarak geri çekmesi yardımıyla
çekirdek ikili elde ettik. Ardından çekirdek ikilinin eş-eşitleyiciye sahip
olduğunu gösterdik. Bu kategoride alınan her denklik bağıntısının etkili olduğu
gösterilerek tam kategori şartları sağlanmıştır.

References

  • J. Whitehead, «Combinatorial Homotopy II,» Bulletin American Mathematical Society, no. 55, pp. 453-456, 1949
  • S. Lichtenbaum ve M. Schlessingger, «The contangent complex of a morphism,» Trans. American Society, no. 18, pp. 41-70, 1967.
  • M. Gerstenhaber, «On the deformation of Rings and Algebras,» Ann. math, no. 84, 16 Ekim 1966.
  • T. Porter, «Homology of Commutative Algebras and Invariant of Simis and Vasconceles,» Journal of Algebra, no. 99, pp. 458-465, 1986.
  • Z. Arvasi, «Crossed Squares and 2-Crossed Modules of Commutatve Algebras,» Theory and Application of Categories, cilt 3, no. 7, pp. 160-189, 1997.
  • Z. Arvasi ve E. Ulualan, «Quadratic and 2-Crossed Modules of Algebras,» Algebra Colloquium, cilt 4, no. 14, pp. 669-686, 2007.
  • D. Conduche, «Modules Croises Generalises de longeur 2,» J.Pure app Algebra, no. 34, pp. 155-178, 1984.
  • A. R. Grandjean ve M. J. Vale, «2-Modules Cruzados on la Cohomologia de Andre Quillen,» %1 içinde Memorias de la Reai Academia de Ciencias, 1986.
  • M. Barr, «Exact Categories and Categories of Sheaves,» Springer Lecture notes in math, no. 236, pp. 1-120, 1971.
  • D. Quillen, «Higher Algebraic K-Theory,» SLNM Springer Verlag , no. 341, pp. 85-147, 1973.

2-Crossed modules over same base

Year 2017, , 1210 - 1220, 01.12.2017
https://doi.org/10.16984/saufenbilder.295208

Abstract

In the category of 2-Crossed modules over
same base geven a morphism
 , we obtain its kernell pair via pullback.
Then showed that the kernell pair has a co-equaliser . The conditionsfor an
exact category are satisfied by showing every equivalence relation in this
category is effective.

References

  • J. Whitehead, «Combinatorial Homotopy II,» Bulletin American Mathematical Society, no. 55, pp. 453-456, 1949
  • S. Lichtenbaum ve M. Schlessingger, «The contangent complex of a morphism,» Trans. American Society, no. 18, pp. 41-70, 1967.
  • M. Gerstenhaber, «On the deformation of Rings and Algebras,» Ann. math, no. 84, 16 Ekim 1966.
  • T. Porter, «Homology of Commutative Algebras and Invariant of Simis and Vasconceles,» Journal of Algebra, no. 99, pp. 458-465, 1986.
  • Z. Arvasi, «Crossed Squares and 2-Crossed Modules of Commutatve Algebras,» Theory and Application of Categories, cilt 3, no. 7, pp. 160-189, 1997.
  • Z. Arvasi ve E. Ulualan, «Quadratic and 2-Crossed Modules of Algebras,» Algebra Colloquium, cilt 4, no. 14, pp. 669-686, 2007.
  • D. Conduche, «Modules Croises Generalises de longeur 2,» J.Pure app Algebra, no. 34, pp. 155-178, 1984.
  • A. R. Grandjean ve M. J. Vale, «2-Modules Cruzados on la Cohomologia de Andre Quillen,» %1 içinde Memorias de la Reai Academia de Ciencias, 1986.
  • M. Barr, «Exact Categories and Categories of Sheaves,» Springer Lecture notes in math, no. 236, pp. 1-120, 1971.
  • D. Quillen, «Higher Algebraic K-Theory,» SLNM Springer Verlag , no. 341, pp. 85-147, 1973.
There are 10 citations in total.

Details

Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Koray Yılmaz

Publication Date December 1, 2017
Submission Date February 27, 2017
Acceptance Date June 1, 2017
Published in Issue Year 2017

Cite

APA Yılmaz, K. (2017). 2-Crossed modules over same base. Sakarya University Journal of Science, 21(6), 1210-1220. https://doi.org/10.16984/saufenbilder.295208
AMA Yılmaz K. 2-Crossed modules over same base. SAUJS. December 2017;21(6):1210-1220. doi:10.16984/saufenbilder.295208
Chicago Yılmaz, Koray. “2-Crossed Modules over Same Base”. Sakarya University Journal of Science 21, no. 6 (December 2017): 1210-20. https://doi.org/10.16984/saufenbilder.295208.
EndNote Yılmaz K (December 1, 2017) 2-Crossed modules over same base. Sakarya University Journal of Science 21 6 1210–1220.
IEEE K. Yılmaz, “2-Crossed modules over same base”, SAUJS, vol. 21, no. 6, pp. 1210–1220, 2017, doi: 10.16984/saufenbilder.295208.
ISNAD Yılmaz, Koray. “2-Crossed Modules over Same Base”. Sakarya University Journal of Science 21/6 (December 2017), 1210-1220. https://doi.org/10.16984/saufenbilder.295208.
JAMA Yılmaz K. 2-Crossed modules over same base. SAUJS. 2017;21:1210–1220.
MLA Yılmaz, Koray. “2-Crossed Modules over Same Base”. Sakarya University Journal of Science, vol. 21, no. 6, 2017, pp. 1210-2, doi:10.16984/saufenbilder.295208.
Vancouver Yılmaz K. 2-Crossed modules over same base. SAUJS. 2017;21(6):1210-2.

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