Action of left identity on n-skew commuting 3-additive mappings
In this paper, our aim is to prove the following result: consider a given integer [Formula: see text], and let [Formula: see text] be a [Formula: see text] torsion free ring possessing a left multiplicative identity e. If [Formula: see text] is a symmetric 3-additive map and [Formula: see text] is t...
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World Scientific Publishing
2025-01-01
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| Series: | Mathematics Open |
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| Online Access: | https://www.worldscientific.com/doi/10.1142/S2811007224500081 |
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| author | Suad Alrehaili Faiza Shujat Abu Zaid Ansari |
| author_facet | Suad Alrehaili Faiza Shujat Abu Zaid Ansari |
| author_sort | Suad Alrehaili |
| collection | DOAJ |
| description | In this paper, our aim is to prove the following result: consider a given integer [Formula: see text], and let [Formula: see text] be a [Formula: see text] torsion free ring possessing a left multiplicative identity e. If [Formula: see text] is a symmetric 3-additive map and [Formula: see text] is the trace of [Formula: see text] such that [Formula: see text] is n-skew commuting on [Formula: see text], then [Formula: see text]. |
| format | Article |
| id | doaj-art-0f4641adcbb7419688f153eb5d97054c |
| institution | Kabale University |
| issn | 2811-0072 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | Mathematics Open |
| spelling | doaj-art-0f4641adcbb7419688f153eb5d97054c2025-02-03T07:04:29ZengWorld Scientific PublishingMathematics Open2811-00722025-01-010410.1142/S2811007224500081Action of left identity on n-skew commuting 3-additive mappingsSuad Alrehaili0Faiza Shujat1Abu Zaid Ansari2Department of Mathematics, Faculty of Science, Taibah University, Madinah, Kingdom of Saudi ArabiaDepartment of Mathematics, Faculty of Science, Taibah University, Madinah, Kingdom of Saudi ArabiaDepartment of Mathematics, Faculty of Science, Islamic University of Madinah, Kingdom of Saudi ArabiaIn this paper, our aim is to prove the following result: consider a given integer [Formula: see text], and let [Formula: see text] be a [Formula: see text] torsion free ring possessing a left multiplicative identity e. If [Formula: see text] is a symmetric 3-additive map and [Formula: see text] is the trace of [Formula: see text] such that [Formula: see text] is n-skew commuting on [Formula: see text], then [Formula: see text].https://www.worldscientific.com/doi/10.1142/S2811007224500081Prime ringleft identityn-skew commuting3-additive mappings |
| spellingShingle | Suad Alrehaili Faiza Shujat Abu Zaid Ansari Action of left identity on n-skew commuting 3-additive mappings Mathematics Open Prime ring left identity n-skew commuting 3-additive mappings |
| title | Action of left identity on n-skew commuting 3-additive mappings |
| title_full | Action of left identity on n-skew commuting 3-additive mappings |
| title_fullStr | Action of left identity on n-skew commuting 3-additive mappings |
| title_full_unstemmed | Action of left identity on n-skew commuting 3-additive mappings |
| title_short | Action of left identity on n-skew commuting 3-additive mappings |
| title_sort | action of left identity on n skew commuting 3 additive mappings |
| topic | Prime ring left identity n-skew commuting 3-additive mappings |
| url | https://www.worldscientific.com/doi/10.1142/S2811007224500081 |
| work_keys_str_mv | AT suadalrehaili actionofleftidentityonnskewcommuting3additivemappings AT faizashujat actionofleftidentityonnskewcommuting3additivemappings AT abuzaidansari actionofleftidentityonnskewcommuting3additivemappings |