Some Upper Bounds for the Dimension of the c-Nilpotent Multiplier of a Pair of Lie Algebras
The notion of the Schur multiplier of a Lie algebra L was introduced by Batten in 1996. Recently, the first author introduced the concept of the cnilpotent multiplier of a pair of Lie algebras and gave some exact sequences for the c-nilpotent multiplier of a pair of Lie algebras. The purpose of this...
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2020-12-01
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| Series: | Discussiones Mathematicae - General Algebra and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgaa.1331 |
| _version_ | 1797715845591334912 |
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| author | Arabyani Homayoon Sadeghifard Mohammad Javad Sheikh-Mohseni Sedigheh |
| author_facet | Arabyani Homayoon Sadeghifard Mohammad Javad Sheikh-Mohseni Sedigheh |
| author_sort | Arabyani Homayoon |
| collection | DOAJ |
| description | The notion of the Schur multiplier of a Lie algebra L was introduced by Batten in 1996. Recently, the first author introduced the concept of the cnilpotent multiplier of a pair of Lie algebras and gave some exact sequences for the c-nilpotent multiplier of a pair of Lie algebras. The purpose of this paper is to derive some inequalities for dimension of the c-nilpotent multiplier of a pair of Lie algebras. |
| first_indexed | 2024-03-12T08:12:49Z |
| format | Article |
| id | doaj.art-648cc5d5aab94cb9aec47377e8a175ac |
| institution | Directory Open Access Journal |
| issn | 2084-0373 |
| language | English |
| last_indexed | 2024-03-12T08:12:49Z |
| publishDate | 2020-12-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae - General Algebra and Applications |
| spelling | doaj.art-648cc5d5aab94cb9aec47377e8a175ac2023-09-02T19:04:35ZengUniversity of Zielona GóraDiscussiones Mathematicae - General Algebra and Applications2084-03732020-12-0140215916410.7151/dmgaa.1331dmgaa.1331Some Upper Bounds for the Dimension of the c-Nilpotent Multiplier of a Pair of Lie AlgebrasArabyani Homayoon0Sadeghifard Mohammad Javad1Sheikh-Mohseni Sedigheh2Department of Mathematics, Neyshabur Branch, Islamic Azad University, Neyshabur, IranDepartment of Mathematics, Neyshabur Branch, Islamic Azad University, Neyshabur, IranHigher Education Center of Eghlid,Eghlid, IranThe notion of the Schur multiplier of a Lie algebra L was introduced by Batten in 1996. Recently, the first author introduced the concept of the cnilpotent multiplier of a pair of Lie algebras and gave some exact sequences for the c-nilpotent multiplier of a pair of Lie algebras. The purpose of this paper is to derive some inequalities for dimension of the c-nilpotent multiplier of a pair of Lie algebras.https://doi.org/10.7151/dmgaa.1331pair of lie algebrasschur multipliernilpotent lie algebra17b3017b6017b99 |
| spellingShingle | Arabyani Homayoon Sadeghifard Mohammad Javad Sheikh-Mohseni Sedigheh Some Upper Bounds for the Dimension of the c-Nilpotent Multiplier of a Pair of Lie Algebras Discussiones Mathematicae - General Algebra and Applications pair of lie algebras schur multiplier nilpotent lie algebra 17b30 17b60 17b99 |
| title | Some Upper Bounds for the Dimension of the c-Nilpotent Multiplier of a Pair of Lie Algebras |
| title_full | Some Upper Bounds for the Dimension of the c-Nilpotent Multiplier of a Pair of Lie Algebras |
| title_fullStr | Some Upper Bounds for the Dimension of the c-Nilpotent Multiplier of a Pair of Lie Algebras |
| title_full_unstemmed | Some Upper Bounds for the Dimension of the c-Nilpotent Multiplier of a Pair of Lie Algebras |
| title_short | Some Upper Bounds for the Dimension of the c-Nilpotent Multiplier of a Pair of Lie Algebras |
| title_sort | some upper bounds for the dimension of the c nilpotent multiplier of a pair of lie algebras |
| topic | pair of lie algebras schur multiplier nilpotent lie algebra 17b30 17b60 17b99 |
| url | https://doi.org/10.7151/dmgaa.1331 |
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