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Communications in Algebra Volume 25, 1997 - Issue 11
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Original Articles

Crossed products by a coalgebra

Tomasz Brzeziński Department of Applied Mathematics & Theoretical Physics, University of Cambridge, Cambridge, CB3 9EW
Pages 3551-3575 | Received 01 Jun 1996, Published online: 27 Jun 2007

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Tianshui Ma, Jie Li, Haiyan Yang & Shuanhong Wang. (2022) Double crossed biproducts and related structures. Communications in Algebra 50:10, pages 4517-4535.
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Mauricio Da Rocha, Jorge A. Guccione & J. Guccione. (2017) Cleft extensions of a family of braided Hopf algebras. Communications in Algebra 45:7, pages 3166-3205.
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J. M. Fernández Vilaboa, R. González Rodríguez & A. B. Rodríguez Raposo. (2016) Equivalences for Weak Crossed Products. Communications in Algebra 44:10, pages 4519-4545.
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Tianshui Ma & Haiying Li. (2015) On Radford Biproduct. Communications in Algebra 43:9, pages 3946-3966.
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Tianshui Ma, Haiying Li & Zhicheng Zhang. (2014) Two Results on Brzeziński π-crossed Product. Communications in Algebra 42:5, pages 2082-2098.
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Florin Panaite. (2014) Equivalent Crossed Products and Cross Product Bialgebras. Communications in Algebra 42:5, pages 1937-1952.
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Ana Belén Rodríguez Raposo. (2009) Crossed Products for Weak Hopf Algebras. Communications in Algebra 37:7, pages 2274-2289.
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Constanza Di Luigi, Jorge A. Guccione & Juan J. Guccione. (2004) Brzeziński's Crossed Products and Braided Hopf Crossed Products. Communications in Algebra 32:9, pages 3563-3580.
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Peter Schauenburg. (1999) A generalization of hopf crossed products. Communications in Algebra 27:10, pages 4779-4801.
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Articles from other publishers (27)

Oğul Esen, Partha Guha & Serkan Sütlü. (2022) Bicocycle double cross constructions. Journal of Algebra and Its Applications 22:12.
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Tianshui MA & Bei Lİ. (2022) Two results on double crossed biproducts. Hacettepe Journal of Mathematics and Statistics 51:4, pages 1121-1140.
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Quan-Guo Chen. (2022) A new method of constructing weak crossed products. Filomat 36:4, pages 1245-1253.
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Oǧul Esen & Serkan Sütlü. (2021) Matched pair analysis of the Vlasov plasma. Journal of Geometric Mechanics 13:2, pages 209.
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Jorge A. Guccione, Juan J. Guccione & Christian Valqui. (2020) Cleft extensions of weak Hopf algebras. Journal of Algebra 547, pages 668-710.
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T. S. Ma, H. Y. Li & L. H. Dong. (2019) A Class of Double Crossed Biproducts. Ukrainian Mathematical Journal 70:11, pages 1767-1776.
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A. L. Agore & G. Militaru. (2015) Extending structures, Galois groups and supersolvable associative algebras. Monatshefte für Mathematik 181:1, pages 1-33.
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Florin Panaite. (2014) Iterated crossed products. Journal of Algebra and Its Applications 13:07, pages 1450036.
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D. Bulacu & S. Caenepeel. (2013) Monoidal Ring and Coring Structures Obtained from Wreaths and Cowreaths. Algebras and Representation Theory 17:4, pages 1035-1082.
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José Nicanor Alonso Álvarez, José Manuel Fernández Vilaboa & Ramón González Rodríguez. (2014) Crossed products over weak Hopf algebras related to cleft extensions and cohomology. Chinese Annals of Mathematics, Series B 35:2, pages 161-190.
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TIANSHUI MA, ZHENGMING JIAO & YANAN SONG. (2013) ON CROSSED DOUBLE BIPRODUCT. Journal of Algebra and Its Applications 12:05, pages 1250211.
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Graciela Carboni, Jorge A. Guccione, Juan J. Guccione & Christian Valqui. (2012) Cyclic homology of Brzeziński’s crossed products and of braided Hopf crossed products. Advances in Mathematics 231:6, pages 3502-3568.
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Jose Manuel Fernández Vilaboa, Ramon González Rodríguez & Ana Belen Rodríguez Raposo. (2012) Weak crossed biproducts and weak projections. Science China Mathematics 55:7, pages 1321-1352.
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TIANSHUI MA, HAIYING LI & SHUANHONG WANG. (2012) QUASITRIANGULARITY OF BRZEZIŃSKI'S CROSSED COPRODUCTS. Journal of Algebra and Its Applications 10:02, pages 241-255.
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Tianshui Ma, Haiying Li & Shuanhong Wang. (2010) A class of new braided Hopf algebras. Frontiers of Mathematics in China 6:2, pages 293-308.
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ROBERT WISBAUER. (2012) LIFTING THEOREMS FOR TENSOR FUNCTORS ON MODULE CATEGORIES. Journal of Algebra and Its Applications 10:01, pages 129-155.
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Gabriella Böhm. (2010) The weak theory of monads. Advances in Mathematics 225:1, pages 1-32.
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J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez & A. B. Rodríguez Raposo. (2008) Crossed Products in Weak Contexts. Applied Categorical Structures 18:3, pages 231-258.
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J.M. Fernández Vilaboa, R. González Rodríguez & A.B. Rodríguez Raposo. (2009) Preunits and weak crossed products. Journal of Pure and Applied Algebra 213:12, pages 2244-2261.
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Robert Wisbauer. (2007) Algebras Versus Coalgebras. Applied Categorical Structures 16:1-2, pages 255-295.
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J.N. Alonso Álvarez, J.M. Fernández Vilaboa, R. González Rodríguez & A.B. Rodríguez Raposo. (2005) Weak C-cleft extensions, weak entwining structures and weak Hopf algebras. Journal of Algebra 284:2, pages 679-704.
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Jorge A. Guccione & Juan J. Guccione. (2003) Theory of braided Hopf crossed products. Journal of Algebra 261:1, pages 54-101.
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Yuri Bespalov & Bernhard Drabant. (2001) Cross Product Bialgebras Part II. Journal of Algebra 240:2, pages 445-504.
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SHAHN MAJID. (2011) DIAGRAMMATICS OF BRAIDED GROUP GAUGE THEORY. Journal of Knot Theory and Its Ramifications 08:06, pages 731-771.
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Nicola Ciccoli. (1999) Induction of quantum group representations. Journal of Geometry and Physics 31:2-3, pages 96-110.
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Yuri Bespalov & Bernhard Drabant. (1999) Cross Product Bialgebras, I. Journal of Algebra 219:2, pages 466-505.
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Tomasz Brzeziński. (1997) Quantum homogeneous spaces and coalgebra bundles. Reports on Mathematical Physics 40:2, pages 179-185.
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