排序方式: 共有2条查询结果,搜索用时 31 毫秒
1
1.
In this paper, it is shown that an l-prime lattice-ordered ring in which the square of every element is positive must be a domain provided it has non-zero f-elements and be an l-domain provided it has a left (right) identity ele-ment or a central idempotent element .More generally,the same conclusion follows if the condition a2≥0 is replaced by p(a)≥0 or f(a,b)≥0 for suitable polyno-mials p(x) and f(x, y) . It is also shown that an l-algebra is an f-algebra provided it is archimedean, contains an f-element e>0 with r1(e)=0, and satifies a polynomial identity p(x)≥0 or f(x,y)≥0 (for suitable f(x,y)). 相似文献
2.
StuartA.Stcinberg在[1],[2],[3]中讨论了具有左f-超单位的l-环的一些性质。本文将这些结论推广到含有零化子为零的f-元的l-环. 相似文献
1