شماره ركورد كنفرانس :
4079
عنوان مقاله :
Bounded Lattice-valued functions
پديدآورندگان :
Karimi Feizabad .A akarimi@gorganiau.ac.ir Gorgan Branch, Islamic Azad University , Emamverdi .B Emamverdi55@yahoo.com Hakim Sabzevari University , Estaji .A .A aaestaji@hsu.ac.ir Hakim Sabzevari University
كليدواژه :
Frame , ring of real , valued continuous functions on a frame , lattice , valued function , Bounded
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده فارسي :
Cozero maps are generalized form of cozero elements. In this paper a particular case of cozero maps, called the lattice-valued functions $c:A\rightarrow L$ in which $A$ is an $f$-ring and $L$ is a frame. We present the concept of a bounded lattice-valued function. Also we show that if $A$ is a bounded unit strong $f$-ring and the
lattice-valued function $c:A\rightarrow L$ satisfies condition $c2$, that is if $x\in A$ is a unit then $c(x)=\top$, then $c$ is a bounded lattice-valued function