Dual minus partial order
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909247444353024 |
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| author | Gao, Ju Wang, Hongxing Liu, Xiaoji |
| author_facet | Gao, Ju Wang, Hongxing Liu, Xiaoji |
| contents | In this paper, we introduce the Dual-minus partial order, get some characterizations of the partial order, and prove that both the dual star partial order and the dual sharp partial order are Dual-minus-type partial orders. Based on the Dual-minus partial order, we introduce the Dual-minus sharp partial order and the Dual-minus star partial order, which are also Dual-minus-type partial orders. In addition, we discuss relationships among the Dual-minus sharp partial order, the D-sharp partial order and the G-sharp partial order(the Dual-minus star partial order, the D-star partial order and the P-star partial order). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_06453 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dual minus partial order Gao, Ju Wang, Hongxing Liu, Xiaoji Rings and Algebras 15A09, 15A24, 62G30 In this paper, we introduce the Dual-minus partial order, get some characterizations of the partial order, and prove that both the dual star partial order and the dual sharp partial order are Dual-minus-type partial orders. Based on the Dual-minus partial order, we introduce the Dual-minus sharp partial order and the Dual-minus star partial order, which are also Dual-minus-type partial orders. In addition, we discuss relationships among the Dual-minus sharp partial order, the D-sharp partial order and the G-sharp partial order(the Dual-minus star partial order, the D-star partial order and the P-star partial order). |
| title | Dual minus partial order |
| topic | Rings and Algebras 15A09, 15A24, 62G30 |
| url | https://arxiv.org/abs/2407.06453 |