Title of article :
Coextended weak entwining structures
Author/Authors :
ÁLVAREZ, JOSÉ NICANOR ALONSO University of Vigo - Department of Mathematics, Spain , VILABOA, JOSÉ MANUEL FERNANDEZ University of Santiago de Compostela - Department of Algebra, Spain , RODRÍGUEZ, RAMÓN GONZÁLEZ University of Vigo - Department of Applied Mathematics II, Spain
Abstract :
In this paper, we formulate the definition of coextended weak entwining structure in a strict monoidal category with equalizers. For a coextended weak entwining structure (A,D,psi,alpha), we introduce the notions of weak (D,alpha)-cleft extension and weak (D,alpha)-Galois extension (with normal basis), proving that weak (D,alpha)-Galois extensions with normal basis are equivalent to weak (D,alpha)-cleft extensions.
Keywords :
Monoidal category , coextended weak entwining structure , weak cleft extension , weak Galois extension , normal basis
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
