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Original Articles

Some Properties of the Schur Multiplier and Covers of Lie Algebras

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Pages 697-707 | Received 19 Nov 2006, Published online: 07 Apr 2008

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (18)

Nahid Gholami & Farshid Saeedi. (2023) New bounds on the dimension of the Schur multiplier of n-Lie algebras. Communications in Algebra 51:1, pages 1-19.
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Farangis Johari & Peyman Niroomand. (2022) The capability and certain functors of some nilpotent lie algebras of class two. Linear and Multilinear Algebra 70:21, pages 7189-7203.
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Farangis Johari. (2022) Bounds for the dimension of the center factor in capable nilpotent Lie algebras of class two. Linear and Multilinear Algebra 70:21, pages 6412-6424.
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Farangis Johari, Peyman Niroomand & Afsaneh Shamsaki. (2021) The schur multiplier of a nilpotent Lie algebra with derived subalgebra of maximum dimension. Quaestiones Mathematicae 44:6, pages 849-856.
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Farangis Johari, Peyman Niroomand & Mohsen Parvizi. (2021) Nilpotent Lie algebras of class 4 with the derived subalgebra of dimension 3. Communications in Algebra 49:2, pages 521-532.
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Peyman Niroomand & Afsaneh Shamsaki. (2020) Nilpotent lie algebras having the Schur multiplier of maximum dimension. Quaestiones Mathematicae 43:9, pages 1239-1246.
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H. Arabyani & S. Sheikh-Mohseni. (2020) Isoclinic relative extensions of pairs of Lie algebras. Quaestiones Mathematicae 43:7, pages 919-930.
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Mohsen Parvizi, Farangis Johari & Peyman Niroomand. (2019) c-capability of Lie algebras with the derived subalgebra of dimension two. Communications in Algebra 47:12, pages 5072-5079.
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Pradeep K. Rai. (2019) On the dimension of the Schur multiplier of nilpotent lie algebras. Communications in Algebra 47:10, pages 3982-3986.
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Hajar Ravanbod & Ali Reza Salemkar. (2019) On stem covers and the universal central extensions of Lie crossed modules. Communications in Algebra 47:7, pages 2855-2869.
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Arezoo Aslizadeh, Ali Reza Salemkar & Zahra Riyahi. (2019) Polynilpotent capability of Lie algebras. Communications in Algebra 47:4, pages 1390-1400.
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Peyman Niroomand, Farangis Johari & Mohsen Parvizi. (2019) Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field. Linear and Multilinear Algebra 67:3, pages 542-554.
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Guy R. Biyogmam. (2019) On the dimension of the c-nilpotent Schur Lie-multiplier of Leibniz algebras. Communications in Algebra 47:3, pages 1091-1098.
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Homayoon Arabyani & Hesam Safa. (2019) Some properties of c-covers of a pair of Lie algebras. Quaestiones Mathematicae 42:1, pages 37-45.
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Hesam Safa & Homayoon Arabyani. (2017) On c-nilpotent multiplier and c-covers of a pair of Lie algebras. Communications in Algebra 45:10, pages 4429-4434.
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Homayoon Arabyani, Farshid Saeedi, Mohammad RezaR. Moghaddam & Elaheh Khamseh. (2014) Characterization of Nilpotent Lie Algebras Pair by Their Schur Multipliers. Communications in Algebra 42:12, pages 5474-5483.
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Behrouz Edalatzadeh. (2014) Capability of Crossed Modules of Lie Algebras. Communications in Algebra 42:8, pages 3366-3380.
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Ali Reza Salemkar & Fateme Mirzaei. (2010) Characterizing n-Isoclinism Classes of Lie Algebras. Communications in Algebra 38:9, pages 3392-3403.
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Articles from other publishers (34)

Homayoon Arabyani. (2023) Polynilpotent capability of a pair of Lie algebras. Advanced Studies: Euro-Tbilisi Mathematical Journal 16:1.
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Ibrahem Yakzan Hasan, Rudra Narayan Padhan & Manjula Das. (2022) Detecting capable pairs of some nilpotent Lie superalgebras. Indian Journal of Pure and Applied Mathematics.
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Josè Manuel Casas & Seyedeh Narges Hosseini. (2022) On isoclinism of Hom-Lie algebras. Journal of Algebra 606, pages 894-915.
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Fatemeh Pazandeh Shanbehbazari, Peyman Niroomand, Francesco G. Russo & Afsaneh Shamsaki. (2021) Capability of Nilpotent Lie Algebras of Small Dimension. Bulletin of the Iranian Mathematical Society 48:3, pages 1153-1167.
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Peyman Niroomand & Afsaneh Shamsaki. (2022) On Characterizing Nilpotent Lie Algebra by Their Multiplier, $$ s(L)=6, 7 $$. Results in Mathematics 77:2.
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José Manuel Casas & Xabier García-Martínez. (2022) On the Capability of Hom-Lie Algebras. Mediterranean Journal of Mathematics 19:2.
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Farangis Johari. (2021) Finite-dimensional nilpotent Lie algebras of class two and alternating bilinear maps. Journal of Algebra 586, pages 561-581.
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Homayoon Arabyani. (2020) Some properties of the c-nilpotent multiplier of a pair of Lie algebras. Indian Journal of Pure and Applied Mathematics 51:2, pages 557-564.
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A. Allahyari & F. Saeedi. (2018) Some properties of isoclinisms of Lie algebra crossed modules. Asian-European Journal of Mathematics 13:03, pages 2050055.
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Afsaneh Shamsaki & Peyman Niroomand. (2019) On characterizing nilpotent Lie algebras by their multiplier, $$s(L)=4$$. Rendiconti del Circolo Matematico di Palermo Series 2 69:1, pages 259-272.
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Farangis Johari, Peyman Niroomand & Mohsen Parvizi. (2019) c-Nilpotent multiplier and c-capability of the direct sum of Lie algebras. Journal of Algebra and Its Applications 19:02, pages 2050037.
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Farangis Johari & Peyman Niroomand. (2019) Certain functors of nilpotent Lie algebras with the derived subalgebra of dimension two. Journal of Algebra and Its Applications 19:01, pages 2050012.
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Zahra Hoseini, Farshid Saeedi & Hamid Darabi. (2018) Characterization of capable nilpotent n-Lie algebras of class two by their Schur multipliers. Rendiconti del Circolo Matematico di Palermo Series 2 68:3, pages 541-551.
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Afsaneh Shamsaki & Peyman Niroomand. (2019) The Schur multipliers of Lie algebras of maximal class. International Journal of Algebra and Computation 29:05, pages 795-801.
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Homayoon Arabyani. (2018) Some Results on the c-Nilpotent Multiplier of a Pair of Lie Algebras. Bulletin of the Iranian Mathematical Society 45:1, pages 205-212.
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Peyman Niroomand & Farangis Johari. (2018) The structure, capability and the Schur multiplier of generalized Heisenberg Lie algebras. Journal of Algebra 505, pages 482-489.
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G.R. Biyogmam & J.M. Casas. (2018) On -isoclinic Leibniz algebras . Journal of Algebra 499, pages 337-357.
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F. Saeedi, H. Arabyani & P. Niroomand. (2017) On dimension of Schur multiplier of nilpotent Lie algebras II. Asian-European Journal of Mathematics 10:04, pages 1750076.
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Peyman Niroomand & Mohsen Parvizi. (2017) 2-capability and 2-nilpotent multiplier of finite dimensional nilpotent Lie algebras. Journal of Geometry and Physics 121, pages 180-185.
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Farangis Johari, Mohsen Parvizi & Peyman Niroomand. (2017) Capability and Schur multiplier of a pair of Lie algebras. Journal of Geometry and Physics 114, pages 184-196.
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G.R. Biyogmam & J.M. Casas. (2017) WITHDRAWN: On -isoclinic Leibniz algebras . Journal of Algebra.
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Peyman Niroomand & Mohsen Parvizi. (2016) 2-Nilpotent multipliers of a direct product of Lie algebras. Rendiconti del Circolo Matematico di Palermo (1952 -) 65:3, pages 519-523.
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Peyman Niroomand, Farangis Johari & Mohsen Parvizi. (2016) On the capability and Schur multiplier of nilpotent Lie algebra of class two. Proceedings of the American Mathematical Society 144:10, pages 4157-4168.
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M. Eshrati, F. Saeedi & H. Darabi. (2016) On the multiplier of nilpotent n-Lie algebras. Journal of Algebra 450, pages 162-172.
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Zahra Riyahi & Ali Reza Salemkar. (2015) A remark on the Schur multiplier of nilpotent Lie algebras. Journal of Algebra 438, pages 1-6.
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Peyman Niroomand, Mohsen Parvizi & Francesco G. Russo. (2013) Some criteria for detecting capable Lie algebras. Journal of Algebra 384, pages 36-44.
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ALI REZA SALEMKAR & ZAHRA RIYAHI. (2012) THE POLYNILPOTENT MULTIPLIER OF LIE ALGEBRAS. Journal of Algebra and Its Applications 12:02, pages 1250154.
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Ali Reza Salemkar & Behrouz Edalatzadeh. (2012) THE MULTIPLIER AND THE COVER OF DIRECT SUMS OF LIE ALGEBRAS. Asian-European Journal of Mathematics 05:02, pages 1250026.
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Mohammad Reza Rismanchian & Mehdi Araskhan. (2012) Some inequalities for the dimension of the Schur multiplier of a pair of (nilpotent) Lie algebras. Journal of Algebra 352:1, pages 173-179.
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Ali Reza Salemkar, Behrouz Edalatzadeh & Hamid Mohammadzadeh. (2012) On Covers of Perfect Lie Algebras. Algebra Colloquium 18:03, pages 419-427.
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Peyman Niroomand. (2010) On dimension of the Schur multiplier of nilpotent Lie algebras. Central European Journal of Mathematics 9:1, pages 57-64.
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LINDSEY R. BOSKO. (2012) ON SCHUR MULTIPLIERS OF LIE ALGEBRAS AND GROUPS OF MAXIMAL CLASS. International Journal of Algebra and Computation 20:06, pages 807-821.
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Ali Reza Salemkar, Behrouz Edalatzadeh & Mehdi Araskhan. (2009) Some inequalities for the dimension of the c-nilpotent multiplier of Lie algebras. Journal of Algebra 322:5, pages 1575-1585.
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ALI REZA SALEMKAR, HADI BIGDELY & VAHID ALAMIAN. (2011) SOME PROPERTIES ON ISOCLINISM OF LIE ALGEBRAS AND COVERS. Journal of Algebra and Its Applications 07:04, pages 507-516.
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