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Projections of weak braided Hopf algebras 被引量:1
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作者 ALONSO LVAREZ Jos Nicanor FERNNDEZ VILABOA Jos Manuel +1 位作者 GONZLEZ RODRíIGUEZ Ramón SONEIRA CALVO Carlos 《Science China Mathematics》 SCIE 2011年第5期877-906,共30页
In this paper we study the projections of weak braided Hopf algebras using the notion of Yetter-Drinfeld module associated with a weak braided Hopf algebra. As a consequence, we complete the study ofthe structure of w... In this paper we study the projections of weak braided Hopf algebras using the notion of Yetter-Drinfeld module associated with a weak braided Hopf algebra. As a consequence, we complete the study ofthe structure of weak Hopf algebras with a projection in a braiding setting obtaining a categorical equivalencebetween the category of weak Hopf algebra projections associated with a weak Hopf algebra H living in abraided monoidal category and the category of Hopf algebras in the non-strict braided monoidal category ofleft-left Yetter-Drinfeld modules over H. 展开更多
关键词 weak Yang-Baxter operator Yetter-Drinfeld module weak (braided) Hopf algebra weak Hopf algebra projection
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Shallow water equations for power law and Bingham fluids
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作者 FERNNDEZ-NIETO Enrique D NOBLE Pascal VILA Jean-Paul 《Science China Mathematics》 SCIE 2012年第2期277-283,共7页
In this note,we provide a consistant thin layer theory for power law and Bingham incompressible fluids flowing down an inclined plane under the effect of gravity.The derivation of such equations is based on formal asy... In this note,we provide a consistant thin layer theory for power law and Bingham incompressible fluids flowing down an inclined plane under the effect of gravity.The derivation of such equations is based on formal asymptotic expansions of solutions of Cauchy momentum equations in the shallow water scaling and in the neighbourhood of steady solutions so that we can close the average equations on the fluid height h and the total discharge rate q. 展开更多
关键词 SHALLOW WATER EQUATIONS ASYMPTOTIC ANALYSIS non-Newtonian FLUIDS
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Weak crossed biproducts and weak projections
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作者 FERNNDEZ VILABOA Jose Manuel GONZLEZ RODRíGUEZ Ramon RODRíGUEZ RAPOSO Ana Belen 《Science China Mathematics》 SCIE 2012年第7期1321-1352,共32页
In this paper, we present the general theory and universal properties of weak crossed biproducts. We prove that every weak projection of weak bialgebras induces one of these weak crossed structures. Finally, we comput... In this paper, we present the general theory and universal properties of weak crossed biproducts. We prove that every weak projection of weak bialgebras induces one of these weak crossed structures. Finally, we compute explicitly the weak crossed biproduct associated with a groupoid that admits an exact factorization. 展开更多
关键词 braided monoidal category preunit crossed product weak Hopf algebra weak projection weakcrossed biproduct
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Superattracting cycles for some Newton type iterative methods
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作者 AMAT Sergio BUSQUIER Sonia +1 位作者 NAVARRO Emilie PLAZA Sergio 《Science China Mathematics》 SCIE 2011年第3期539-544,共6页
The paper is devoted to the analysis of certain dynamical properties of a family of iterative Newton type methods used to find roots of non-linear equations. We present a procedure for constructing polynomials in such... The paper is devoted to the analysis of certain dynamical properties of a family of iterative Newton type methods used to find roots of non-linear equations. We present a procedure for constructing polynomials in such a way that superattracting cycles of any prescribed length occur when these iterative methods are applied. This paper completes the study begun in Amat, Bermúclez, Busquier, et al., (2009). 展开更多
关键词 iterative methods (super)attracting cycles DYNAMICS
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