Monoidal ring and coring structures obtained from wreaths and cowreaths
D Bulacu, S Caenepeel - Algebras and Representation Theory, 2014 - Springer
Let A be an algebra in a monoidal category \calC, and let X be an object in \calC. We study A-
(co) ring structures on the left A-module A⊗ X. These correspond to (co) algebra structures in …
(co) ring structures on the left A-module A⊗ X. These correspond to (co) algebra structures in …
[HTML][HTML] The finite dual coalgebra as a quantization of the maximal spectrum
ML Reyes - Journal of Algebra, 2024 - Elsevier
In pursuit of a noncommutative spectrum functor, we argue that the Heyneman-Sweedler
finite dual coalgebra can be viewed as a quantization of the maximal spectrum of a …
finite dual coalgebra can be viewed as a quantization of the maximal spectrum of a …
Hopf algebras arising from partial (co) actions
D Azevedo, G Martini, A Paques… - Journal of Algebra and Its …, 2021 - World Scientific
In this paper, extending the idea presented by Takeuchi in [M. Takeuchi, Matched pairs of
groups and bismash products of Hopf algebras, Comm. Algebra 9 (1981) 841–882.] and …
groups and bismash products of Hopf algebras, Comm. Algebra 9 (1981) 841–882.] and …
Dual coalgebras of twisted tensor products
ML Reyes - arXiv preprint arXiv:2306.17261, 2023 - arxiv.org
We investigate cases where the finite dual coalgebra of a twisted tensor product of two
algebras is a crossed product coalgebra of their respective finite duals. This is achieved by …
algebras is a crossed product coalgebra of their respective finite duals. This is achieved by …
Minimum depth of factorization algebra extensions
AH Alvarado - Revista Colombiana de Matemáticas, 2023 - revistas.unal.edu.co
In this paper we study the minimum depth of a subalgebra embedded in a factorization
algebra, and outline how subring depth, in this context, is related to module depth of the …
algebra, and outline how subring depth, in this context, is related to module depth of the …
Minimum depth of double cross product extensions
AJ Hernández Alvarado - 2020 - kerwa.ucr.ac.cr
In this paper we explore minimum odd and minimum even depth sub-algebra pairs in the
context of double cross products of finite dimensional Hopf algebras. We start by defining …
context of double cross products of finite dimensional Hopf algebras. We start by defining …
Minimum depth of double cross product extensions
AH Alvarado - arXiv preprint arXiv:2005.00860, 2020 - arxiv.org
In this paper we explore minimum odd and minimum even depth sub algebra pairs in the
context of double cross products of finite dimensional Hopf algebras. We start by defining …
context of double cross products of finite dimensional Hopf algebras. We start by defining …