【摘要】 作者在文[11中对单项式代数进行了推广,并定义了一类新的代数-无交换关系代数.本文证明了控制维数大于等于2的右Artin代数∧是Nakayama,代数当且仅当∧是无交换关系代数,从而在此类代数上证明了Nakayama猜想和AuslanderReiten猜想.更多还原

【Abstract】 This paper proves that the right artin algebra with dominant dimensions larger than or equal to 2 is the Nakayama algebra if and only if it is the algebra with no commutative relations,which is a generalization of monomial algebras and introduced in[1]by the author.Thus the Nakayama conjecture and Auslander-Reiten conjecture are proved on this kind of algebras.更多还原