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Title

On semi weak factorization structures

Year: 1398
COI: JR_CGASAT-11-0_002
Language: EnglishView: 29
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Authors

Azadeh Ilaghi-Hosseini - Department of Pure Mathematics, Faculty of Math and Computer, Shahid Bahonar University of Kerman
Seyed Shahin Mousavi Mirkalai - Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Naser Hosseini - Department of Pure Mathematics, Faculty of Math and Computers, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract:

In this article the notions of semi weak orthogonality and semi weak factorization structure in a category \mathcal X are introduced. Then the relationship between semi weak factorization structures and quasi right (left) and weak factorization structures is given. The main result is a characterization of semi weak orthogonality, factorization of morphisms, and semi weak factorization structures by natural isomorphisms.

Keywords:

Quasi right (left) factorization structure , (semi weak) orthogonality , (semi weak) , factorization structure

Paper COI Code

This Paper COI Code is JR_CGASAT-11-0_002. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1267960/

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Ilaghi-Hosseini, Azadeh and Mousavi Mirkalai, Seyed Shahin and Hosseini, Naser,1398,On semi weak factorization structures,https://civilica.com/doc/1267960

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  • Adamek, J., Herrlich, H., Rosicky, J., and Tholen, W., Weak ...
  • Adamek, J., Herrlich, H., and Strecker, G.E., “Abstract and Concrete ...
  • Dikranjan, D. and Tholen, W., “Categorical Structure of Closure Operators”, ...
  • Hirschhorn, P., “Model Categories and Their Localizations”, Amer. Math. Soc., ...
  • Hosseini, S.N. and Mousavi, S.Sh., A relation between closure operators ...
  • Hosseini, S.N. and Mousavi, S.Sh., Quasi left factorization structures as ...
  • Maclane, S. and Moerdijk, I., “Sheaves in Geometry and Logic, ...
  • Mousavi, S.Sh. and Hosseini, S.N., Quasi right factorization structures as ...
  • Piccinini, R.A.,“Lectures on Homotopy Theory”, North-Holland Mathematics Studies ۱۷۱, ۱۹۹۲ ...
  • Rosicky, J. and Tholen, W., Factorization, fibration and torsion, J. ...
  • Wisbauer, R., “Foundations of Module and Ring Theory: A Handbook ...
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