Jia-Feng Lu

collaborators

5 papers

math.RA2025

Manin triples, bialgebras and Yang-Baxter equation of $A_{3}$ -associative algebras

Yaxi Jiang, Chuangchuang Kang, Jiafeng LÃ¼

$A_{3}$ -associative algebra is a generalization of associative algebra and is one of the four remarkable types of Lie-admissible algebras, along with associative algebra, left-symmet…

math.RA2025

Matched pairs and double construction bialgebras of (transposed) Poisson 3-Lie algebras

Kecheng Zhou, Chuangchuang Kang, Jiafeng LÃ¼

Double construction bialgebras for Poisson 3-Lie algebras and transposed Poisson 3-Lie algebras are defined and studied using matched pairs. Poisson 3-Lie algebras and transposed P…

math.AC2025

Universal enveloping H-pseudoalgebras of DGP pseudoalgebras

Ying Chen, Jiafeng LÃ¼, Jiaqun Wei

The notions of Poisson $H$ -pseudoalgebras are generalizations of Poisson algebras in a pseudotensor category $M^{*} (H)$ . This paper introduces an analogue of Poisson-O…

math-ph2024

Universal enveloping algebras of weighted differential Poisson algebras

Ying Chen, Chuangchuang Kang, Jiafeng LÃ¼

The $I^»$ -differential operators and modified $I^»$ -differential operators are generalizations of classical differential operators. This paper introduces the notions of $I^»$ -differen…

math.RA2024

Relative torsionfreeness and Frobenius extensions

Yanhong Bao, Jiafeng LÃ¼, Zhibing Zhao

Let $S / R$ be a Frobenius extension with $_{R} S_{R}$ centrally projective over $R$ . We show that if $_{R} I ¨ $ is a Wakamatsu tilting module then so is $_{S} S \otimes_{R} I ¨ $ , and the natural rin…