Centralizer on Lie-ideal of Semi-prime Inverse Semi-ring
The summary purpose of this work: We extending certain results on α-centralizer of inverse semiring under specific conditions, achieve new results on lie ideal of inverse semiring with some consequent collieries, generalize assorted α-centralizer for lie ideal of inverse semiring with some co...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2025-01-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
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| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3482 |
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| author | Ali JA. Abass Mohammed Yasin Shrooq Bahjat Smeein Abdulahman H. Majeed |
| author_facet | Ali JA. Abass Mohammed Yasin Shrooq Bahjat Smeein Abdulahman H. Majeed |
| author_sort | Ali JA. Abass |
| collection | DOAJ |
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The summary purpose of this work: We extending certain results on α-centralizer of inverse semiring under specific conditions, achieve new results on lie ideal of inverse semiring with some consequent collieries, generalize assorted α-centralizer for lie ideal of inverse semiring with some collieries, investigate significant theorems on jordan α-centralizer of prime inverse semiring and we extend certain results of α-centralizers and jordan α-centralizers on lie-ideals of prime semi-rings to prime inverse semi-ring, we generalizing the results of Mary in to α-centralizer on semiring, Also we generalize our results on lie ideals of inverse semiring. We extending the results of Shafiq, Aslam, Javed to α- centralizer of Inverse semiring. since R is left (right) Jordan α-centralizer on”V, we get the output R is a left (right) α-centralizer on V.”If it where α is an automorphism of V,R(u) ∈ V, for any u ∈ V, and α(Z(V))= Z(V). We also get the following output R is a α-centralizer on V.
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| format | Article |
| id | doaj-art-93a68da3ce4740b796fcfb3b52f1ead5 |
| institution | Kabale University |
| issn | 1609-4042 2521-3407 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj-art-93a68da3ce4740b796fcfb3b52f1ead52025-01-22T01:21:09ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072025-01-0138110.30526/38.1.3482Centralizer on Lie-ideal of Semi-prime Inverse Semi-ringAli JA. Abass 0https://orcid.org/0009-0005-8166-2106Mohammed Yasin1https://orcid.org/0009-0009-9394-5698Shrooq Bahjat Smeein 2https://orcid.org/0009-0002-9351-4176Abdulahman H. Majeed 3https://orcid.org/0000-0001-8534-0749Department of Mathematics, College, of Science, University of Baghdad, Baghdad, IraqDepartment of Mathematics, An-Najah National University, Nablus P400, PalestineInformation Department -Section Mathematics, University of Technology and Applied Science - Muscat, Sultanate of Oman.Department of Mathematic , Al-Mamoun University College, Baghdad, Iraq The summary purpose of this work: We extending certain results on α-centralizer of inverse semiring under specific conditions, achieve new results on lie ideal of inverse semiring with some consequent collieries, generalize assorted α-centralizer for lie ideal of inverse semiring with some collieries, investigate significant theorems on jordan α-centralizer of prime inverse semiring and we extend certain results of α-centralizers and jordan α-centralizers on lie-ideals of prime semi-rings to prime inverse semi-ring, we generalizing the results of Mary in to α-centralizer on semiring, Also we generalize our results on lie ideals of inverse semiring. We extending the results of Shafiq, Aslam, Javed to α- centralizer of Inverse semiring. since R is left (right) Jordan α-centralizer on”V, we get the output R is a left (right) α-centralizer on V.”If it where α is an automorphism of V,R(u) ∈ V, for any u ∈ V, and α(Z(V))= Z(V). We also get the following output R is a α-centralizer on V. https://jih.uobaghdad.edu.iq/index.php/j/article/view/3482Lie-idealprime inverse semi-ringsemi-prime inverse semi-ringα-centralizerjordan α-centralizer |
| spellingShingle | Ali JA. Abass Mohammed Yasin Shrooq Bahjat Smeein Abdulahman H. Majeed Centralizer on Lie-ideal of Semi-prime Inverse Semi-ring Ibn Al-Haitham Journal for Pure and Applied Sciences Lie-ideal prime inverse semi-ring semi-prime inverse semi-ring α-centralizer jordan α-centralizer |
| title | Centralizer on Lie-ideal of Semi-prime Inverse Semi-ring |
| title_full | Centralizer on Lie-ideal of Semi-prime Inverse Semi-ring |
| title_fullStr | Centralizer on Lie-ideal of Semi-prime Inverse Semi-ring |
| title_full_unstemmed | Centralizer on Lie-ideal of Semi-prime Inverse Semi-ring |
| title_short | Centralizer on Lie-ideal of Semi-prime Inverse Semi-ring |
| title_sort | centralizer on lie ideal of semi prime inverse semi ring |
| topic | Lie-ideal prime inverse semi-ring semi-prime inverse semi-ring α-centralizer jordan α-centralizer |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3482 |
| work_keys_str_mv | AT alijaabass centralizeronlieidealofsemiprimeinversesemiring AT mohammedyasin centralizeronlieidealofsemiprimeinversesemiring AT shrooqbahjatsmeein centralizeronlieidealofsemiprimeinversesemiring AT abdulahmanhmajeed centralizeronlieidealofsemiprimeinversesemiring |