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on property (a) and the socle of the f-ring frm(p(r),l)
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نویسنده
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estaji ali asghar ,hashemi ebrahim ,estaji ali akbar
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منبع
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categories and general algebraic structures with applications - 2018 - دوره : 8 - شماره : 1 - صفحه:61 -80
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چکیده
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For a frame l, consider the f-ring fpl=frm(p(r),l). in this paper, first we show that each minimal ideal of fpl is a principal ideal generated by fa, where a is an atom of l. then we show that if l is an fp-completely regular frame, then the socle of fpl consists of those f for which coz(f) is a join of finitely many atoms. also it is shown that not only fpl has property (a) but also if l has a finite number of atoms then the residue class ring fpl/soc(fpl) has property (a).
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کلیدواژه
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minimal ideal ,socle ,real-valued functions ring ,ring with property (a)
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آدرس
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shahrood university of technology, department of mathematics, ایران, shahrood university of technology, department of mathematics, ایران, hakim sabzevari university, faculty of mathematics and computer sciences, ایران
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پست الکترونیکی
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aaestaji@hsu.ac.ir, aa−estaji@yahoo.com
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Authors
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