By Green formula, comultiplication on the (extended twisted) Ringel-Hall algebra generated by the basis indexed by the isomorphic classes of A-modules where A is a finite dimensional hereditary algebra can be defined.
由Green公式,以有限维遗传代数的模的同构类为指标的基元生成的(extended twisted)Ringel-Hall代数可定义余乘结构,进而定义对极后可做成Hopf代数。
参考来源 - 带循环的赋值图的表示和Double Ringel·2,447,543篇论文数据，部分数据来源于NoteExpress
提供同一类产品或服务的企业，或者提供可相互替代产品的企业，共同构成一个行业。
Provide the same type of product or service enterprises, or to provide mutual alternative enterprises, together constitute an industry.
交换环上矩阵代数的可解子代数和幂零子代数的自同构分解问题是一类重要的具有理论意义的研究课题。
It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.
本文提出的基于等价类法的形式背景同构判定算法，有效地提高了同构判定的效率。
This paper suggests an isomorphism detecting algorithm based on equivalent class, which improves the efficiency of context isomorphism detection.
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