论文标题
IL-Elgebras的过滤理论
Filter theory of IL-algebras
论文作者
论文摘要
在本文中，我们在IL-Elgebra上介绍了过滤器的概念。事实证明，这个概念概括了在残留的晶格上的过滤器概念。定义了IL-Elgebra上的Prime过滤器，并且很少获得有趣的特性。已经表明，与IL-Elgebra相对应的商代数也是在过滤器的帮助下形成的。
In this paper, we introduce the concept of filter on IL-algebra. It is proved that this concept generalizes the notion of filter on Residuated Lattices. Prime filters on IL-algebra are defined and few interesting properties are obtained. It has been shown that quotient algebra corresponding to IL-algebra is formed with the help of filters also an IL-algebra.
