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Communications in Algebra Volume 28, 2000 - Issue 8
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Original Articles

On functional identities and d-free subsets of rings, I

K.I. Beidar Department of Mathematics, National Cheng-Kung University, Tainan, Taiwan
&
M.A. Chebotar Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia
Pages 3925-3951 | Received 01 Apr 1999, Published online: 27 Jun 2007

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Maja Fošner & Joso Vukman. (2011) On Some Functional Equations in Rings. Communications in Algebra 39:7, pages 2647-2658.
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Yu Wang. (2009) Functional Identities and Lie Superhomomorphisms on Prime Superalgebras. Communications in Algebra 37:12, pages 4193-4226.
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K.I. Beidar & Ying-Fen Lin. (2005) MAPS CHARACTERIZED BY ACTION ON LIE ZERO PRODUCTS. Communications in Algebra 33:8, pages 2697-2703.
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M. A. Chebotar, Yuen Fong & Long-Sheng Shiao. (2004) On Functional Identities Involving Quasi-polynomials of Degree One. Communications in Algebra 32:9, pages 3673-3683.
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K. I. Beidar & M. A. Chebotar. (2003) When Is a Graded PI Algebra a PI Algebra?. Communications in Algebra 31:6, pages 2951-2964.
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Matej Brešar. (2003) On d-Free Rings. Communications in Algebra 31:5, pages 2287-2309.
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Fangyan Lu. (2003) Jordan Maps on Associative Algebras. Communications in Algebra 31:5, pages 2273-2286.
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K. I. Beidar, M. Bresˇar & M. A. Chebotar. (2002) FUNCTIONAL IDENTITIES WITH r-INDEPENDENT COEFFICIENTS. Communications in Algebra 30:12, pages 5725-5755.
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K. I. Beidar, M. Bres˘ar & M. A. Chebotar. (2002) FUNCTIONAL IDENTITIES REVISED: THE FRACTIONAL AND THE STRONG DEGREE. Communications in Algebra 30:2, pages 935-969.
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K. I. Beidar & M. A. Chebotar. (2001) ON SURJECTIVE LIE HOMOMORPHISMS ONTO LIE IDEALS OF PRIME RINGS. Communications in Algebra 29:10, pages 4775-4793.
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K.I. Beidar & M.A. Chebotar. (2000) On functional identities and d-free subsets of rings. II. Communications in Algebra 28:8, pages 3953-3972.
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K.I. Beidar, S.C. Chang, M.A. Chebotar & Y. Fong. (2000) On functional identities in left ideals of prime rings. Communications in Algebra 28:6, pages 3041-3058.
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Articles from other publishers (43)

Benjamin Marcen & Joso Vukman. (2024) On certain functional equation related to derivations. Open Mathematics 22:1.
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Matej Brešar. (2023) Functional identities and their applications. Bulletin of Mathematical Sciences 13:03.
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Maja Fošner & Benjamin Marcen. (2022) A new equation related to two-sided centralizers in prime rings. Aequationes mathematicae 96:6, pages 1207-1219.
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Cheng-Kai Liu & Yen-Fu Pu. (2021) The structure of n-commuting additive maps on Lie ideals of prime rings. Linear Algebra and its Applications 631, pages 328-361.
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He Yuan & Liangyun Chen. (2020) Functional identities on upper triangular matrix rings. Open Mathematics 18:1, pages 182-193.
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He Yuan & Liangyun Chen. (2018) Lie n superderivations and generalized Lie n superderivations of superalgebras . Open Mathematics 16:1, pages 196-209.
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Nihan Baydar Yarbil & Nurcan Argaç. (2016) A note on generalized Lie derivations of prime rings. Frontiers of Mathematics in China 12:1, pages 247-260.
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Matej Brešar. (2016) Functional identities on tensor products of algebras. Journal of Algebra 455, pages 108-136.
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Yu Wang. (2013) Functional identities in superalgebras. Journal of Algebra 382, pages 144-176.
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Maja Fošner & Joso Vukman. (2012) On some functional equations arising from $(m,n)$-Jordan deriva- tions and commutativity of prime rings. Rocky Mountain Journal of Mathematics 42:4.
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Yu Wang. (2011) Lie superhomomorphisms in superalgebras with superinvolution. Journal of Algebra 344:1, pages 333-353.
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Maja Fosner & Joso Vukman. (2011) Equations related to derivations on prime rings. Glasnik matematicki 46:1, pages 31-41.
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Toan Duc Dinh & Michael Donzella. (2010) On maps preserving zeros of Lie polynomials of small degrees. Linear Algebra and its Applications 432:2-3, pages 493-498.
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Jer-Shyong Lin & Cheng-Kai Liu. (2010) Strong commutativity preserving maps in prime rings with involution. Linear Algebra and its Applications 432:1, pages 14-23.
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Ping-Bao Liao & Cheng-Kai Liu. (2009) On generalized Lie derivations of Lie ideals of prime algebras. Linear Algebra and its Applications 430:4, pages 1236-1242.
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Dominik Benkovič, Daniel Eremita & Joso Vukman. (2008) A characterization of the centroid of a prime ring. Studia Scientiarum Mathematicarum Hungarica 45:3, pages 379-394.
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Jer-Shyong Lin & Cheng-Kai Liu. (2008) Strong commutativity preserving maps on Lie ideals. Linear Algebra and its Applications 428:7, pages 1601-1609.
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. (2008) Konstantin Igorevich Beidar (1951–2004). Journal of Mathematical Sciences 149:2, pages 1039-1046.
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Matej Brešar. (2007) Commutativity preserving maps revisited. Israel Journal of Mathematics 162:1, pages 317-334.
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Maja Fošner & Joso Vukman. (2007) On some equations in prime rings. Monatshefte für Mathematik 152:2, pages 135-150.
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Matej Brešar, Mikhail A. Chebotar & Wallace S. Martindale3rd3rd. 2007. Functional Identities. Functional Identities 147 188 .
Matej Brešar, Mikhail A. Chebotar & Wallace S. Martindale3rd3rd. 2007. Functional Identities. Functional Identities 111 144 .
Matej Brešar, Mikhail A. Chebotar & Wallace S. Martindale3rd3rd. 2007. Functional Identities. Functional Identities 87 110 .
Matej Brešar, Mikhail A. Chebotar & Wallace S. Martindale3rd3rd. 2007. Functional Identities. Functional Identities 49 85 .
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M. A. Chebotar & Y. Fong. (2006) THE LIFE CONTRIBUTION OF KOSTIA BEIDAR IN RING AND NEARRING THEORY. Taiwanese Journal of Mathematics 10:6.
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Yu Wang. (2012) A Note on Maps Characterized by Actions on Zero Products. Algebra Colloquium 13:04, pages 685-687.
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Mikhail A. Chebotar, Wen-Fong Ke, Pjek-Hwee Lee & Ruibin Zhang. (2006) On Maps Preserving Zero Jordan Products. Monatshefte für Mathematik 149:2, pages 91-101.
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Matej Brešar & Peter Šemrl. (2006) On bilinear maps on matrices with applications to commutativity preservers. Journal of Algebra 301:2, pages 803-837.
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K. I. Beidar, M. A. Chebotar, Y. Fong & W.-F. Ke. (2005) On Certain Power-Associative, Lie-Admissible Subalgebras of Matrix Algebras. Journal of Mathematical Sciences 131:5, pages 5939-5947.
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Mikhail A. Chebotar, Yuen Fong & Pjek-Hwee Lee. (2005) On maps preserving zeros of the polynomial xy−yx*. Linear Algebra and its Applications 408, pages 230-243.
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M. A. Chebotar, W.-F. Ke, P.-H. Lee & L.-S. Shiao. (2018) On Maps Preserving Products. Canadian Mathematical Bulletin 48:3, pages 355-369.
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Mikhail A. Chebotar, Wen-Fong Ke & Pjek-Hwee Lee. (2005) On maps preserving square-zero matrices. Journal of Algebra 289:2, pages 421-445.
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K. I. Beidar, M. Brešar, M. A. Chebotar & W. S. Martindale. (2004) Polynomial preserving maps on certain Jordan algebras. Israel Journal of Mathematics 141:1, pages 285-313.
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Matej Breˇsar. (2004) COMMUTING MAPS: A SURVEY. Taiwanese Journal of Mathematics 8:3.
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Константин Игоревич Бейдар, Konstantin Igorevich Beidar, Александр Васильевич Михалeв, Aleksandr Vasil'evich Mikhalev, Михаил Александрович Чеботарь & Mikhail Aleksandrovich Chebotar. (2004) Функциональные тождества в кольцах и их приложенияFunctional identities in rings and their applications. Успехи математических наук Uspekhi Matematicheskikh Nauk 59:3, pages 3-30.
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Ying-Fen Lin. (2003) Commutativity-preserving maps on Lie ideals of prime algebras. Linear Algebra and its Applications 371, pages 361-368.
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В-Ф Ке, W-F Ke, Михаил Александрович Чеботарь & Mikhail Aleksandrovich Chebotar. (2003) О биаддитивных отображениях некоторых алгебр ЛиOn bi-additive maps of some Lie algebras. Успехи математических наук Uspekhi Matematicheskikh Nauk 58:1, pages 187-188.
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K.I. Beidar, M. Brešar, M.A. Chebotar & Y. Fong. (2002) Applying functional identities to some linear preserver problems. Pacific Journal of Mathematics 204:2, pages 257-271.
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K.I. Beidar, M. Brešar, M.A. Chebotar & W.S. Martindale3rd3rd. (2002) On Herstein's Lie Map Conjectures, III. Journal of Algebra 249:1, pages 59-94.
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K. I. Beidar & M. A. Chebotar. (2001) On Lie derivations of Lie ideals of prime algebras. Israel Journal of Mathematics 123:1, pages 131-148.
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K.I Beidar, M Brešar, M.A Chebotar & W.S Martindale3rd3rd. (2001) On Herstein's Lie Map Conjectures, II. Journal of Algebra 238:1, pages 239-264.
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K.I. Beidar & M.A. Chebotar. (2000) On Lie-Admissible Algebras Whose Commutator Lie Algebras Are Lie Subalgebras of Prime Associative Algebras. Journal of Algebra 233:2, pages 675-703.
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