On semi weak factorization structures | ||
| Categories and General Algebraic Structures with Applications | ||
| مقاله 5، دوره 11، Special Issue Dedicated to Prof. George A. Grätzer، مهر 2019، صفحه 33-56 اصل مقاله (768.05 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.29252/cgasa.11.1.33 | ||
| نویسندگان | ||
| Azadeh Ilaghi-Hosseini1؛ Seyed Shahin Mousavi Mirkalai2؛ Naser Hosseini3 | ||
| 1Department of Pure Mathematics, Faculty of Math and Computer, Shahid Bahonar University of Kerman | ||
| 2Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| 3Department of Pure Mathematics, Faculty of Math and Computers, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Quasi right (left) factorization structure؛ (semi weak) orthogonality؛ (semi weak)؛ factorization structure | ||
| مراجع | ||
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