NEW METHODS FOR CONSTRUCTING GENERALIZED GROUPS, TOPOLOGICAL GENERALIZED GROUPS, AND TOP SPACES
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...
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| Format: | Article |
| Language: | English |
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Shahrood University of Technology
2019-09-01
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| Series: | Journal of Algebraic Systems |
| Subjects: | |
| Online Access: | http://jas.shahroodut.ac.ir/article_1441_9692022631d2c6707ac622d360bde6c6.pdf |
| _version_ | 1817975314063556608 |
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| author | Z. Nazari A. Delbaznasab M. Kamandar |
| author_facet | Z. Nazari A. Delbaznasab M. Kamandar |
| author_sort | Z. Nazari |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T21:47:27Z |
| format | Article |
| id | doaj.art-bb5c83081deb416a98e8d9bb8121eb0a |
| institution | Directory Open Access Journal |
| issn | 2345-5128 2345-511X |
| language | English |
| last_indexed | 2024-04-13T21:47:27Z |
| publishDate | 2019-09-01 |
| publisher | Shahrood University of Technology |
| record_format | Article |
| series | Journal of Algebraic Systems |
| spelling | doaj.art-bb5c83081deb416a98e8d9bb8121eb0a2022-12-22T02:28:31ZengShahrood University of TechnologyJournal of Algebraic Systems2345-51282345-511X2019-09-0171839410.22044/jas.2018.7007.13451441NEW METHODS FOR CONSTRUCTING GENERALIZED GROUPS, TOPOLOGICAL GENERALIZED GROUPS, AND TOP SPACESZ. Nazari0A. Delbaznasab1M. Kamandar2Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O. Box 7713936417, Rafsanjan, Iran.Department of Mathematics, Farhangian University, Yasoj, Iran.Department of Mathematics, Shahed University, Tehran, Iran.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.http://jas.shahroodut.ac.ir/article_1441_9692022631d2c6707ac622d360bde6c6.pdfgeneralized groupgeneralized ringtopological generalized grouptop spacelie group |
| spellingShingle | Z. Nazari A. Delbaznasab M. Kamandar NEW METHODS FOR CONSTRUCTING GENERALIZED GROUPS, TOPOLOGICAL GENERALIZED GROUPS, AND TOP SPACES Journal of Algebraic Systems generalized group generalized ring topological generalized group top space lie group |
| title | NEW METHODS FOR CONSTRUCTING GENERALIZED GROUPS, TOPOLOGICAL GENERALIZED GROUPS, AND TOP SPACES |
| title_full | NEW METHODS FOR CONSTRUCTING GENERALIZED GROUPS, TOPOLOGICAL GENERALIZED GROUPS, AND TOP SPACES |
| title_fullStr | NEW METHODS FOR CONSTRUCTING GENERALIZED GROUPS, TOPOLOGICAL GENERALIZED GROUPS, AND TOP SPACES |
| title_full_unstemmed | NEW METHODS FOR CONSTRUCTING GENERALIZED GROUPS, TOPOLOGICAL GENERALIZED GROUPS, AND TOP SPACES |
| title_short | NEW METHODS FOR CONSTRUCTING GENERALIZED GROUPS, TOPOLOGICAL GENERALIZED GROUPS, AND TOP SPACES |
| title_sort | new methods for constructing generalized groups topological generalized groups and top spaces |
| topic | generalized group generalized ring topological generalized group top space lie group |
| url | http://jas.shahroodut.ac.ir/article_1441_9692022631d2c6707ac622d360bde6c6.pdf |
| work_keys_str_mv | AT znazari newmethodsforconstructinggeneralizedgroupstopologicalgeneralizedgroupsandtopspaces AT adelbaznasab newmethodsforconstructinggeneralizedgroupstopologicalgeneralizedgroupsandtopspaces AT mkamandar newmethodsforconstructinggeneralizedgroupstopologicalgeneralizedgroupsandtopspaces |