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Communications in Algebra Volume 27, 1999 - Issue 3
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Original Articles

Coalgebra extensions and algebra coextensions of galois type

Tomasz Brzeziński Department of Mathematics, University of York, Heslington, York, YOl 5DD, U.K E-mail: [email protected]
&
Piotr M. Hajac International School for Advanced Studies, Via Beirut 2-4, Trieste, 34013, Italy E-mail: [email protected]
Pages 1347-1367 | Received 01 Oct 1997, Published online: 27 Jun 2007

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Xiao-Li Fang. (2011) Group C-Rings and Weak Group Algebra Galois Coextensions. Communications in Algebra 39:7, pages 2573-2597.
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Adriana Balan. (2010) Galois Extensions for Coquasi-Hopf Algebras. Communications in Algebra 38:4, pages 1491-1525.
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Xiao-Li Fang & Di-Ming Lu. (2008) Group Corings and (Invertible) Weak Group Entwining Structures. Communications in Algebra 36:10, pages 3820-3841.
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Tomasz Brzeziński, RyanB. Turner & AdamP. Wrightson. (2006) The Structure of Weak Coalgebra-Galois Extensions. Communications in Algebra 34:4, pages 1489-1519.
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Tomasz Brzeziński & Florin F. Nichita. (2005) YANG–BAXTER SYSTEMS AND ENTWINING STRUCTURES. Communications in Algebra 33:4, pages 1083-1093.
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Shuan-hong Wang. (2004) Group Entwining Structures and Group Coalgebra Galois Extensions. Communications in Algebra 32:9, pages 3437-3457.
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Markus Debert, Mario Paschke & Andrzej Sitarz. (2003) Multiple Noncommutative Tori and Hopf Algebras. Communications in Algebra 31:11, pages 5263-5286.
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Mamta Balodi, Abhishek Banerjee & Samarpita Ray. (2021) Entwined modules over linear categories and Galois extensions. Israel Journal of Mathematics 241:2, pages 623-692.
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J.N. Alonso Álvarez, J.M. Fernández Vilaboa & R. González Rodríguez. (2016) Cleft and Galois extensions associated with a weak Hopf quasigroup. Journal of Pure and Applied Algebra 220:3, pages 1002-1034.
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J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez & C. Soneira Calvo. (2014) Lax entwining structures, groupoid algebras and cleft extensions. Bulletin of the Brazilian Mathematical Society, New Series 45:1, pages 133-178.
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J. N. Alonso Álvarez, J. M. Fernández Vilaboa & R. González Rodríguez. (2012) Strong connections and invertible weak entwining structures. Acta Mathematica Sinica, English Series 28:7, pages 1443-1460.
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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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J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez & M. P. López. (2010) A characterization of projective weak Galois extensions. Israel Journal of Mathematics 174:1, pages 161-177.
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Edwin J. Beggs & Tomasz Brzeziński. (2007) An Explicit Formula for a Strong Connection. Applied Categorical Structures 16:1-2, pages 57-63.
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Gabriella Böhm & Tomasz Brzeziński. (2007) Pre-torsors and equivalences. Journal of Algebra 317:2, pages 544-580.
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J. N. Alonso Álvarez, J. M. Fernández Vilaboa, R. González Rodríguez & A. B. Rodríguez Raposo. (2012) Weak Galois and Weak Cocleft Coextensions. Algebra Colloquium 14:02, pages 229-244.
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Giovanni Landi, Chiara Pagani & Cesare Reina. (2006) A Hopf Bundle Over a Quantum Four-Sphere from the Symplectic Group. Communications in Mathematical Physics 263:1, pages 65-88.
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Peter Schauenburg & Hans-Jürgen Schneider. (2005) On generalized Hopf galois extensions. Journal of Pure and Applied Algebra 202:1-3, pages 168-194.
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Tomasz Brzeziński. (2005) Galois comodules. Journal of Algebra 290:2, pages 503-537.
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F. Bonechi, N. Ciccoli, L. Dąbrowski & M. Tarlini. (2004) Bijectivity of the canonical map for the non-commutative instanton bundle. Journal of Geometry and Physics 51:1, pages 71-81.
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Tomasz Brzeziński & Piotr M. Hajac. (2004) The Chern–Galois character. Comptes Rendus Mathematique 338:2, pages 113-116.
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Daniela Hobst & Bodo Pareigis. (2001) Double Quantum Groups. Journal of Algebra 242:2, pages 460-494.
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G Militaru, S Zhu, S Caenepeel & T Brzezi_ski. 2001. Ring Theory And Algebraic Geometry. Ring Theory And Algebraic Geometry.
Tomasz Brzeziński. (2001) The Cohomology Structure of an Algebra Entwined with a Coalgebra. Journal of Algebra 235:1, pages 176-202.
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Tomasz Brzeziński. (1999) Frobenius properties and Maschke-type theorems for entwined modules. Proceedings of the American Mathematical Society 128:8, pages 2261-2270.
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Tomasz Brzeziński. (1999) On Modules Associated to Coalgebra Galois Extensions. Journal of Algebra 215:1, pages 290-317.
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