On Property (A) and the socle of the $f$-ring $Frm(mathcal{P}(mathbb R), L)$
For a frame $L$, consider the $f$-ring $ mathcal{F}_{mathcal P}L=Frm(mathcal{P}(mathbb R), L)$. In this paper, first we show that each minimal ideal of $ mathcal{F}_{mathcal P}L$ is a principal ideal generated by $f_a$, where $a$ is an atom of $L$. Then we show that if $L$ is an $mathcal{F}_{mathcal...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Shahid Beheshti University
2018-01-01
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| Series: | Categories and General Algebraic Structures with Applications |
| Subjects: | |
| Online Access: | http://www.cgasa.ir/article_49786_0a546042fb7220c95d9b4ec558b5f554.pdf |