对合三元半环的几类理想

Some Ideals of Involution Ternary Semiring

利用对合三元半环的几个特殊的理想来研究对合三元半环,得到了对合三元半环的*-理想、*-k理想的性质,最后给出了对合三元半环的*-素理想的三个等价命题.

In this paper, the structure of involutive ternary semiring are studied by using various ideals of involutive ternary semirings. The properties of *-ideals and *-k-ideals of involutive ternary semirings are obtained. Finally, three equivalent propositions of *-prime ideals of involutive ternary semirings are given.