On a theorem of McCoy
We study McCoy's theorem to the skew Hurwitz series ring $({\rm HR}, \omega)$ for some different classes of rings such as: semiprime rings, APP rings and skew Hurwitz serieswise quasi-Armendariz rings. Moreover, we establish an equivalence relationship between a right zip ring and its skew Hurw...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics of the Czech Academy of Science
2024-04-01
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| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | https://mb.math.cas.cz/full/149/1/mb149_1_3.pdf |
| _version_ | 1827320977299603456 |
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| author | Rajendra Kumar Sharma Amit B. Singh |
| author_facet | Rajendra Kumar Sharma Amit B. Singh |
| author_sort | Rajendra Kumar Sharma |
| collection | DOAJ |
| description | We study McCoy's theorem to the skew Hurwitz series ring $({\rm HR}, \omega)$ for some different classes of rings such as: semiprime rings, APP rings and skew Hurwitz serieswise quasi-Armendariz rings. Moreover, we establish an equivalence relationship between a right zip ring and its skew Hurwitz series ring in case when a ring $R$ satisfies McCoy's theorem of skew Hurwitz series. |
| first_indexed | 2024-04-25T00:57:04Z |
| format | Article |
| id | doaj.art-5a6cb76332934733b1aa726a16b680d1 |
| institution | Directory Open Access Journal |
| issn | 0862-7959 2464-7136 |
| language | English |
| last_indexed | 2024-04-25T00:57:04Z |
| publishDate | 2024-04-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj.art-5a6cb76332934733b1aa726a16b680d12024-03-11T09:20:43ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362024-04-011491273810.21136/MB.2023.0031-22MB.2023.0031-22On a theorem of McCoyRajendra Kumar SharmaAmit B. SinghWe study McCoy's theorem to the skew Hurwitz series ring $({\rm HR}, \omega)$ for some different classes of rings such as: semiprime rings, APP rings and skew Hurwitz serieswise quasi-Armendariz rings. Moreover, we establish an equivalence relationship between a right zip ring and its skew Hurwitz series ring in case when a ring $R$ satisfies McCoy's theorem of skew Hurwitz series.https://mb.math.cas.cz/full/149/1/mb149_1_3.pdf skew hurwitz series ring $\omega$-compatible ring skew hurwitz serieswise quasi-armendariz rings zip ring app ring |
| spellingShingle | Rajendra Kumar Sharma Amit B. Singh On a theorem of McCoy Mathematica Bohemica skew hurwitz series ring $\omega$-compatible ring skew hurwitz serieswise quasi-armendariz rings zip ring app ring |
| title | On a theorem of McCoy |
| title_full | On a theorem of McCoy |
| title_fullStr | On a theorem of McCoy |
| title_full_unstemmed | On a theorem of McCoy |
| title_short | On a theorem of McCoy |
| title_sort | on a theorem of mccoy |
| topic | skew hurwitz series ring $\omega$-compatible ring skew hurwitz serieswise quasi-armendariz rings zip ring app ring |
| url | https://mb.math.cas.cz/full/149/1/mb149_1_3.pdf |
| work_keys_str_mv | AT rajendrakumarsharma onatheoremofmccoy AT amitbsingh onatheoremofmccoy |