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maps preserving triple product on rings
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نویسنده
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taghavi ali ,hosseinzadeh roja
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منبع
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journal of mahani mathematical research - 2021 - دوره : 10 - شماره : 2 - صفحه:1 -8
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چکیده
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Let 𝑅 and 𝑅' be two unital rings such that 𝑅 contains a nontrivial idempotent 𝑃1. if 𝑅 is a prime ring, we characterize the form of bijective map ℓ : 𝑅→ 𝑅' which satises ℓ(𝐴𝐵𝑃) = ℓ(𝐴)ℓ(𝐵)ℓ(𝑃), for every 𝐴,𝐵 ∈ 𝑅 and 𝑃 < {𝑃1; 𝑃2}, where 𝑃2 := 𝐼- 𝑃1 and 𝐼 is the unit member of 𝑅. it is shown that ’ is an isomorphism multiplied by a central element. finally, wecharacterize the form of ℓ : 𝑅→ 𝑅 which satises ℓ(𝑃)ℓ(𝐴)ℓ(𝑃) = 𝑃𝐴𝑃, for every 𝐴 ∈ 𝑅 and 𝑃 < {𝑃1; 𝑃2}.
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کلیدواژه
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preserver problem ,ring ,triple product ,non-trivial idempotent
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آدرس
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university of mazandaranof mazandaran, faculty of mathematical sciences, department of mathematics, iran, university of mazandaranof mazandaran, faculty of mathematical sciences, department of mathematics, iran
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پست الکترونیکی
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ro.hosseinzadeh@umz.ac.ir
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Authors
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