Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1406-57
Keywords
Monoidal category, coextended weak entwining structure, weak cleft extension, weak Galois extension, normal basis
First Page
174
Last Page
199
Recommended Citation
ÁLVAREZ, J. N, VILABOA, J. M, & RODRÍGUEZ, R. G (2015). Coextended weak entwining structures. Turkish Journal of Mathematics 39 (2): 174-199. https://doi.org/10.3906/mat-1406-57
