Cilt 21, Sayı 21, Sayfalar 23 - 38 2017-01-17

H-GALOIS EXTENSIONS WITH NORMAL BASIS FOR WEAK HOPF ALGEBRAS

J. N. Alonso Alvarez [1] , J. M. Fernandez Vilaboa [2] , R. Gonzalez Rodriıguez [3]

236 119

 Let H be a weak Hopf algebra and let A be an H-comodule algebra with subalgebra of coinvariants AH. In this paper we introduce the notion of H-Galois extension with normal basis and we prove that AH ,→ A is an H-Galois extension with normal basis if and only if AH ,→ A is an H-cleft extension which admits a convolution invertible total integral. As a consequence, if H is cocommutative and A commutative, we obtain a bijective correspondence between the second cohomology group H2 ϕAH (H, AH) and the set of isomorphism classes of H-Galois extensions with normal basis whose left action over AH is ϕAH . 

H-Galois extensions,normal basis
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Konular
Dergi Bölümü Makaleler
Yazarlar

Yazar: J. N. Alonso Alvarez
E-posta: jnalonso@uvigo.es

Yazar: J. M. Fernandez Vilaboa
E-posta: josemanuel.fernandez@usc.es

Yazar: R. Gonzalez Rodriıguez
E-posta: : rgon@dma.uvigo.es

Bibtex @araştırma makalesi { ieja295749, journal = {International Electronic Journal of Algebra}, issn = {1306-6048}, address = {Prof. Dr. Abdullah HARMANCI}, year = {2017}, volume = {21}, pages = {23 - 38}, doi = {10.24330/ieja.295749}, title = {H-GALOIS EXTENSIONS WITH NORMAL BASIS FOR WEAK HOPF ALGEBRAS}, language = {en}, key = {cite}, author = {Rodriıguez, R. Gonzalez and Alvarez, J. N. Alonso and Vilaboa, J. M. Fernandez} }
APA Alvarez, J , Vilaboa, J , Rodriıguez, R . (2017). H-GALOIS EXTENSIONS WITH NORMAL BASIS FOR WEAK HOPF ALGEBRAS. International Electronic Journal of Algebra, 21 (21), 23-38. DOI: 10.24330/ieja.295749
MLA Alvarez, J , Vilaboa, J , Rodriıguez, R . "H-GALOIS EXTENSIONS WITH NORMAL BASIS FOR WEAK HOPF ALGEBRAS". International Electronic Journal of Algebra 21 (2017): 23-38 <http://dergipark.gov.tr/ieja/issue/27921/295749>
Chicago Alvarez, J , Vilaboa, J , Rodriıguez, R . "H-GALOIS EXTENSIONS WITH NORMAL BASIS FOR WEAK HOPF ALGEBRAS". International Electronic Journal of Algebra 21 (2017): 23-38
RIS TY - JOUR T1 - H-GALOIS EXTENSIONS WITH NORMAL BASIS FOR WEAK HOPF ALGEBRAS AU - J. N. Alonso Alvarez , J. M. Fernandez Vilaboa , R. Gonzalez Rodriıguez Y1 - 2017 PY - 2017 N1 - doi: 10.24330/ieja.295749 DO - 10.24330/ieja.295749 T2 - International Electronic Journal of Algebra JF - Journal JO - JOR SP - 23 EP - 38 VL - 21 IS - 21 SN - 1306-6048-1306-6048 M3 - doi: 10.24330/ieja.295749 UR - http://dx.doi.org/10.24330/ieja.295749 Y2 - 2016 ER -
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