On nominal sets with support-preorder
Each nominal set 𝑋 can be equipped with a preorder relation ⪯ defined by the notion of support, so-called support-preorder. This preorder also leads us to the support topology on each nominal set. We study support-preordered nominal sets and some of their categorical properties in this paper. We als...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Shahid Beheshti University
2022-07-01
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| Series: | Categories and General Algebraic Structures with Applications |
| Subjects: | |
| Online Access: | https://cgasa.sbu.ac.ir/article_102623_81d5fc73f55777aac4d773bc2d38fde1.pdf |
| _version_ | 1798041912949604352 |
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| author | Aliyeh Hossinabadi Mahdieh Haddadi Khadijeh Keshvardoost |
| author_facet | Aliyeh Hossinabadi Mahdieh Haddadi Khadijeh Keshvardoost |
| author_sort | Aliyeh Hossinabadi |
| collection | DOAJ |
| description | Each nominal set 𝑋 can be equipped with a preorder relation ⪯ defined by the notion of support, so-called support-preorder. This preorder also leads us to the support topology on each nominal set. We study support-preordered nominal sets and some of their categorical properties in this paper. We also examine the topological properties of support topology, in particular separation axioms. |
| first_indexed | 2024-04-11T22:28:10Z |
| format | Article |
| id | doaj.art-29171b7cce444e339f2a76e85078d32c |
| institution | Directory Open Access Journal |
| issn | 2345-5853 2345-5861 |
| language | English |
| last_indexed | 2024-04-11T22:28:10Z |
| publishDate | 2022-07-01 |
| publisher | Shahid Beheshti University |
| record_format | Article |
| series | Categories and General Algebraic Structures with Applications |
| spelling | doaj.art-29171b7cce444e339f2a76e85078d32c2022-12-22T03:59:36ZengShahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-58532345-58612022-07-0117114117210.52547/cgasa.2022.102623102623On nominal sets with support-preorderAliyeh Hossinabadi0Mahdieh Haddadi1Khadijeh Keshvardoost2Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan, Iran.Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan, Iran.Department of Mathematics, Velayat University, Iranshahr, Sistan and Balouchistan, Iran.Each nominal set 𝑋 can be equipped with a preorder relation ⪯ defined by the notion of support, so-called support-preorder. This preorder also leads us to the support topology on each nominal set. We study support-preordered nominal sets and some of their categorical properties in this paper. We also examine the topological properties of support topology, in particular separation axioms.https://cgasa.sbu.ac.ir/article_102623_81d5fc73f55777aac4d773bc2d38fde1.pdfnominal setsupport-preordered nominal setsupport topological nominal set |
| spellingShingle | Aliyeh Hossinabadi Mahdieh Haddadi Khadijeh Keshvardoost On nominal sets with support-preorder Categories and General Algebraic Structures with Applications nominal set support-preordered nominal set support topological nominal set |
| title | On nominal sets with support-preorder |
| title_full | On nominal sets with support-preorder |
| title_fullStr | On nominal sets with support-preorder |
| title_full_unstemmed | On nominal sets with support-preorder |
| title_short | On nominal sets with support-preorder |
| title_sort | on nominal sets with support preorder |
| topic | nominal set support-preordered nominal set support topological nominal set |
| url | https://cgasa.sbu.ac.ir/article_102623_81d5fc73f55777aac4d773bc2d38fde1.pdf |
| work_keys_str_mv | AT aliyehhossinabadi onnominalsetswithsupportpreorder AT mahdiehhaddadi onnominalsetswithsupportpreorder AT khadijehkeshvardoost onnominalsetswithsupportpreorder |