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20012026
most citedElectron-Ion Collider in China

422 citations

Showing math.RAShow all

8 papers · 1 filter

math.RA2018★ 6 cited

Weighted infinitesimal unitary bialgebras on matrix algebras and weighted associative Yang-Baxter equations

Yi Zhang, Xing Gao, Jia-wen Zheng

We equip a matrix algebra with a weighted infinitesimal unitary bialgebraic structure, via a construction of a suitable coproduct. Furthermore, an infinitesimal unitary Hopf algebr…

math.RA2015★ 1 cited

On Rings of Differential Rota-Baxter Operators

Xing Gao, Li Guo, Markus Rosenkranz

Using the language of operated algebras, we construct and investigate a class of operator rings and enriched modules induced by a derivation or Rota-Baxter operator. In applying th…

math.RA2015★ 5 cited

An Algebraic Study of Multivariable Integration and Linear Substitution

Markus Rosenkranz, Xing Gao, Li Guo

We set up an algebraic theory of multivariable integration, based on a hierarchy of Rota-Baxter operators and an action of the matrix monoid as linear substitutions. Given a suitab…

math.RA2014★ 12 cited

Rota-Baxter type operators, rewriting systems and Gröbner-Shirshov bases

Xing Gao, Li Guo, William Y. Sit +1

In this paper we apply the methods of rewriting systems and Gröbner-Shirshov bases to give a unified approach to a class of linear operators on associative algebras. These operator…

math.RA2014

Relative locations of subwords in free operated semigroups and Motzkin words

Li Guo, Shanghua Zheng

Bracketed words are basic structures both in mathematics (such as Rota-Baxter algebras) and mathematical physics (such as rooted trees) where the locations of the substructures are…

math.RA2011★ 1 cited

A generalization of supplemented modules

Yongduo Wang

Let be a left module over a ring and an ideal of . is called an -supplemented module (finitely -supplemented module) if for every submodule (finitely gener…

math.RA2010

When an -closed submodule is a direct summand

Yongduo Wang, Dejun Wu

It is well known that a direct sum of CLS-modules is not, in general, a CLS-module. It is proved that if , where and are CLS-modules such that an…

math.RA2010★ 1 cited

On a question of Mohamed and Müller

Yongduo Wang, Dejun Wu

A module is called H-supplemented if for every submodule of there is a direct summand of such that holds if and only if for any submodule …