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.
Keywords
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.
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.
Keywords
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.
Details
| Subjects | Mathematical Sciences |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Submission Date | February 27, 2017 |
| Acceptance Date | June 1, 2017 |
| Publication Date | December 1, 2017 |
| DOI | https://doi.org/10.16984/saufenbilder.295208 |
| IZ | https://izlik.org/JA94NF89KT |
| Published in Issue | Year 2017 Volume: 21 Issue: 6 |
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