Shahrood University of TechnologyJournal of Algebraic Systems2345-51287120190901NEW METHODS FOR CONSTRUCTING GENERALIZED GROUPS, TOPOLOGICAL GENERALIZED GROUPS, AND TOP SPACES8394144110.22044/jas.2018.7007.1345ENZ. NazariDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, P.O. Box 7713936417,
Rafsanjan, Iran.A. DelbaznasabDepartment of Mathematics, Farhangian University, Yasoj, Iran.M. KamandarDepartment of Mathematics, Shahed University, Tehran, Iran.Journal Article20180506The purpose of this paper is to introduce new methods for constructing generalized groups, generalized topological groups and top spaces. We study some properties of these structures and present some relative concrete examples. Moreover, we obtain generalized groups by using of Hilbert spaces and tangent spaces of Lie groups, separately.http://jas.shahroodut.ac.ir/article_1441_9692022631d2c6707ac622d360bde6c6.pdf