Coextended weak entwining structures
Authors : José Nicanor Alonso Álvarez, José Manuel Fernández Vilaboa
Pages : 174-199
Doi:10.3906/mat-1406-57
View : 10 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
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,y,a), we introduce the notions of weak (D,a)-cleft extension and weak (D,a)-Galois extension (with normal basis), proving that weak (D,a)-Galois extensions with normal basis are equivalent to weak (D,a)-cleft extensions.Keywords : Monoidal category, coextended weak entwining structure, weak cleft extension, weak Galois extension, normal basis