@article { author = {Nganteu, C.T. and Kianpi, M. and Amassayoga, O.}, title = {Modal representation of coalgebras over local BL-algebras}, journal = {Journal of Algebraic Hyperstructures and Logical Algebras}, volume = {2}, number = {4}, pages = {51-62}, year = {2021}, publisher = {University of Hatef (Hatef College University)}, issn = {2676-6000}, eissn = {2676-6019}, doi = {10.52547/HATEF.JAHLA.2.4.5}, abstract = {We consider the category Coalg(∏) of ∏-coalgebras where ∏ is the endofunctor on the category of local BL-algebras and  L-morphisms which assigns to each local BL-algebra its quotient by its unique maximal filter and we characterize homomorphisms and subcoalgebras in Coalg(∏) . Moreover, we introduce local BL-frames based on local BL-algebras, and show that the category of local BL-frames is isomorphic to Coalg(∏).}, keywords = {Kripke frame,coalgebra,local BL-algebra}, url = {https://jahla.hatef.ac.ir/article_141745.html}, eprint = {https://jahla.hatef.ac.ir/article_141745_545d45b8753d536e59470f810393bb2e.pdf} }