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r-convex subsets of bimodules over ∗-rings
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نویسنده
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nikoufar ismail ,ebrahimi meymand ali
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منبع
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journal of algebraic systems - 2024 - دوره : 12 - شماره : 1 - صفحه:91 -103
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چکیده
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Let m and n be bimodules over the unital ∗-rings r and b, respectively. we investigate the notion of r-convexity and the corresponding notion of r-extreme points. we discuss the effect of an f-homomorphism on r-convex subsets and its r-extreme points. namely, we declare how an f-homomorphism from m to n carries r-convex subsets and its r-extreme points to b-convex subsets and its b-extreme points and vice versa. moreover, we confirm that the r-convex hull of invariant subsets under f-homomorphisms remains invariant.
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کلیدواژه
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r-convex sets; r-extreme points; f-homomorphism
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آدرس
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payame noor university, department of mathematics, iran, vali-e-asr university of rafsanjan, faculty of mathematical sciences, department of mathematics, iran
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پست الکترونیکی
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a.ebrahimi@vru.ac.ir
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Authors
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