We apply the method of Grobner-Shirshov bases for replicated algebras devel-oped by Kolesnikov to offer a general approach for constructing free products of associative trialgebras(or trioids).In particular,the open p...We apply the method of Grobner-Shirshov bases for replicated algebras devel-oped by Kolesnikov to offer a general approach for constructing free products of associative trialgebras(or trioids).In particular,the open problem of Zhuchok on constructing free products of trioids is solved.展开更多
基金supported by the Natural Science Foundation of Huizhou University(2022JB035,HZU202001)the Guangdong Basic and Applied Basic Research Foundation(2023A1515011690)+3 种基金the Characteristic Innovation Project of Guangdong Provincial Department of Education(2023KTSCX145)supported by the NNSF of China(11571121,12071156)supported by the NNSF of China(12101248)by the China Postdoctoral Science Foundation(2021M691099).
文摘We apply the method of Grobner-Shirshov bases for replicated algebras devel-oped by Kolesnikov to offer a general approach for constructing free products of associative trialgebras(or trioids).In particular,the open problem of Zhuchok on constructing free products of trioids is solved.
