Research and Reports on Mathematics

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Baji Shaik Author

Subjects of specialization
Organic Synthesis , Optoelectronics, XRD Analysis, Material Characterization

Affiliation
Gyeongsang National University | GNU

Biography

He is affiliated to Gyeongsang National University | GNU · Department of Chemistry and Research Institute of Natural Sciences
Ph.D student. He is a recipient of many awards and grants for his valuable contributions and discoveries in major area of subject research. His international experience includes various programs, contributions and participation in different countries for diverse fields of study.  His research interests reflect in his wide range of publications in various national and international journals.


Publications

Editorial Open Access

Extensions in Jacobian algebras and cluster categories of marked surfaces

Author(s):

Baji Shaik

In the context of representation theory of finite dimensional algebras, string algebras are extensively studied and most aspects of their representation theory are well-understood. One exception to the present is that the classification of extensions between indecomposable modules. During this paper we explicitly describe such extensions for a category of string algebras, namely gentle algebras associated to surface triangulations. These algebras arise as Jacobian algebras of unpunctured surfaces. We relate the extension spaces of indecomposable modules to crossings of generalised arcs within the surface and provide explicit bases of the extension spaces for indecomposable modules in most cases. We show that the size of those extension spaces is given in terms of crossing arcs within th... view moreĀ»

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