2 papers
math.RA2025
Anti-pre-Novikov algebras, quasi-triangular and factorizable anti-pre-Novikov bialgebras
Qinxiu Sun, Xingyu Zeng
Firstly, we introduce a notion of anti-pre-Novikov algebras as a new framework for decomposing Novikov algebras. Anti-O-operators on Novikov algebras are developed to provide an al…
math.RA2025
Extending structures for anti-dendriform algebras and anti-dendriform bialgebras
Qinxiu Sun, Xingyu Zeng
In this paper, we first explore the extending structures problem by the unified product for anti-dendriform algebras. In particular,the crossed product and non-abelian extension ar…