@article { author = {Khalaf, A. B. and Yousef, M. A.}, title = {Semi-topological UP-algebras}, journal = {Journal of Algebra and Related Topics}, volume = {9}, number = {2}, pages = {1-22}, year = {2021}, publisher = {University of Guilan}, issn = {2345-3931}, eissn = {2382-9877}, doi = {10.22124/jart.2021.18760.1249}, abstract = {The aim of this paper is to study the concept of semi-topological UP-algebras which is a UP-algebra supplied with a certain type of topology that makes the binary operation defined on it semi-topologically continuous. This concept is a generalization of the concept of topological UP-algebra. We obtain several properties of semi-topological UP-algebras . Furthermore, we introduce and study the concepts of semi(resp., s, irresolute)-topological UP-homomorphisms and some topological structures on certain types of UP-algebras.}, keywords = {UP-algebra,topological UP-algebra,semi (resp,S,irresolute)-topological UP-homomorphism}, url = {https://jart.guilan.ac.ir/article_5152.html}, eprint = {https://jart.guilan.ac.ir/article_5152_4539ac967420a1ee6385956f0c1304f3.pdf} }