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20072026
most citedThe Hochschild cohomology ring of a Frobenius algebra with semisimple Nakayama automorphism is a Batalin-Vilkovisky algebra

31 citations · 118 across the 31 of their papers we have counts for

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math.RA2022★ 3 cited

Cohomology theory of Rota-Baxter pre-Lie algebras of arbitrary weights

Shuangjian Guo, Yufei Qin, Kai Wang +1

This paper is devoted to studying deformation, cohomology theory of Rota-Baxter pre-Lie algebras of arbitrary weights. First we give the notion of a new representation of a Rota-Ba…

math.KT2022★ 11 cited

Deformations and cohomology theory of Rota-Baxter -Lie algebras of arbitrary weights

Shuangjian Guo, Yufei Qin, Kai Wang +1

A cohomology theory of weighted Rota-Baxter -Lie algebras is introduced. Formal deformations, abelian extensions, skeletal weighted Rota-Baxter -Lie 2-algebras and crossed mo…

math.KT2022★ 1 cited

The minimal model of Rota-Baxter operad with arbitrary weight

Kai Wang, Guodong Zhou

This paper investigates Rota-Baxter associative algebras of of arbitrary weights, that is, associative algebras endowed with Rota-Baxter operators of arbitrary weights from an oper…