Quotient on some Generalizations of topological group
In this paper, we define some generalizations of topological group namely -topological group, -topological group and -topological group with illustrative examples. Also, we define grill topological group with respect to a grill. Later, we deliberate the quotient on generalizations of topological gr...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad, College of Science for Women
2023-03-01
|
| Series: | مجلة بغداد للعلوم |
| Subjects: | |
| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8411 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850045043421741056 |
|---|---|
| author | A. Muneesh Kumar P. Gnanachandra B. Ananda Priya |
| author_facet | A. Muneesh Kumar P. Gnanachandra B. Ananda Priya |
| author_sort | A. Muneesh Kumar |
| collection | DOAJ |
| description |
In this paper, we define some generalizations of topological group namely -topological group, -topological group and -topological group with illustrative examples. Also, we define grill topological group with respect to a grill. Later, we deliberate the quotient on generalizations of topological group in particular -topological group. Moreover, we model a robotic system which relays on the quotient of -topological group.
|
| format | Article |
| id | doaj-art-c92d62df96f744e1a0c763519093c1ad |
| institution | DOAJ |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2023-03-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-c92d62df96f744e1a0c763519093c1ad2025-08-20T02:54:47ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862023-03-01201(SI)10.21123/bsj.2023.8411Quotient on some Generalizations of topological groupA. Muneesh Kumar0P. Gnanachandra 1B. Ananda Priya2Department of Mathematics, PSR Engineering College, Sivakasi, Tamilnadu, India.Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College, Sivakasi, Tamilnadu, India.Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College, Sivakasi, Tamilnadu, India. In this paper, we define some generalizations of topological group namely -topological group, -topological group and -topological group with illustrative examples. Also, we define grill topological group with respect to a grill. Later, we deliberate the quotient on generalizations of topological group in particular -topological group. Moreover, we model a robotic system which relays on the quotient of -topological group. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8411b-Topological group, Generalized open, Grill topological group, Quotient space, Topology |
| spellingShingle | A. Muneesh Kumar P. Gnanachandra B. Ananda Priya Quotient on some Generalizations of topological group مجلة بغداد للعلوم b-Topological group, Generalized open, Grill topological group, Quotient space, Topology |
| title | Quotient on some Generalizations of topological group |
| title_full | Quotient on some Generalizations of topological group |
| title_fullStr | Quotient on some Generalizations of topological group |
| title_full_unstemmed | Quotient on some Generalizations of topological group |
| title_short | Quotient on some Generalizations of topological group |
| title_sort | quotient on some generalizations of topological group |
| topic | b-Topological group, Generalized open, Grill topological group, Quotient space, Topology |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8411 |
| work_keys_str_mv | AT amuneeshkumar quotientonsomegeneralizationsoftopologicalgroup AT pgnanachandra quotientonsomegeneralizationsoftopologicalgroup AT banandapriya quotientonsomegeneralizationsoftopologicalgroup |