NEW METHODS FOR CONSTRUCTING GENERALIZED GROUPS, TOPOLOGICAL GENERALIZED GROUPS, AND TOP SPACES

نویسندگان
Nazari, Z. ID 1
Kamandar, M. ID 2
Delbaznasab, A. ID 3

1 Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O. Box 7713936417, Rafsanjan, Iran.

2 Department of Mathematics, Shahed University, Tehran, Iran.

3 Department of Mathematics, Farhangian University, Yasoj, Iran.

doi
10.22044/jas.2018.7007.1345
چکیده

‎‎The 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.

کلیدواژه‌ها
Generalized group‎, ‎Generalized ring‎, Topological generalized group‎, Top space‎, ‎Lie group