Turkish Journal of Mathematics
DOI
10.3906/mat-1406-57
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
First Page
174
Last Page
199
Recommended Citation
ÁLVAREZ, JOSÉ NICANOR ALONSO; VILABOA, JOSÉ MANUEL FERNANDEZ; and RODRÍGUEZ, RAMÓN GONZÁLEZ
(2015)
"Coextended weak entwining structures,"
Turkish Journal of Mathematics: Vol. 39:
No.
2, Article 4.
https://doi.org/10.3906/mat-1406-57
Available at:
https://journals.tubitak.gov.tr/math/vol39/iss2/4
