摘要
本文建立了半环与L-环之间的关系,证明了L-环其本质是依赖于其正半环的.找出了一个半环能嵌入一个L-环的条件,得出一类可以与L-环同构的抽象环,最后得到了一个L-环存在唯一因子分解的条件.
: In this paper,we establish the relationsbips between semirings and l-rings,and provethat an l-ring essentially depend on its Positive semiring. After finding a condition of that a semir-ing is embeddable into an l-ring,we get one class of rings which are ring-isomorphic to l-rings.
出处
《江西师范大学学报（自然科学版）》
CAS
1994年第3期236-242,共7页
Journal of Jiangxi Normal University(Natural Science Edition)
关键词
半环
L半环
L环
semiring, l-semiring, l-ring
