【摘要】 对一些结合环的结构进行了研究,把环中多项式次数均为固定的或仅与变量y有关的正整数的情况推广到不仅与变量y有关,而且与变量x有关的情况,得到了一些新的交换性结果,使环的交换性理论有所突破.更多还原

【Abstract】 The commutative theory of associative ring is the main contents of ring theory, it is a fundamental of commutative algebra and algebra number theory. the structural problem of rings with unit has been a main content for ring theory, in particular, for commutativity problem of polynomial identity rings. In this paper, the structural problem of PI-rings has been investigated, improved from fixed value or only positive integer variate y to that the degree of polynomial have correlation with not only variate of polynomial y but also variate of polynomial x , some novel commutative results have been obtained.更多还原