The ring of real-valued functions on a frame
In this paper, we define and study the notion of the real-valued functions on a frame $L$. We show that $F(L) $, consisting of all frame homomorphisms from the power set of $mathbb{R}$ to a frame $ L$, is an $f$-ring, as a generalization of all functions from a set $X$ into $mathbb R$. Also, we show...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Shahid Beheshti University
2016-07-01
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| Series: | Categories and General Algebraic Structures with Applications |
| Subjects: | |
| Online Access: | http://www.cgasa.ir/article_14685_3fb4a5800764dc102f3cbb565968e45d.pdf |