
The article explores the properties of n-∆U rings, a class of rings defined by the condition that for every unit element u in the ring, u^n - 1 belongs to a specific subring ∆(R).


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rings-characterized-by-the-property-that-u-n-1-belongs-to-the-subring-delta-r-for-every-unit-u


Rings Characterized by the Property that u^n-1 Belongs to the Subring Delta(R) for Every Unit u


title_rewrite


이 논문은 준단순 좌측 골디 환의 큰 이미지를 갖는 모든 내형성사상이 단사임을 증명하여 르로이-마츠척의 질문에 긍정적으로 답변합니다.


준단순-좌측-골디-환의-단사-내형성사상에-대한-르로이-마츠척-질문에-대한-긍정적-답변


준단순 좌측 골디 환의 단사 내형성사상에 대한 르로이-마츠척 질문에 대한 긍정적 답변



Every endomorphism with a large image of a semiprime left Noetherian ring is proven to be a monomorphism, providing an affirmative answer to a question posed by Leroy and Matczuk.


injectivity-of-endomorphisms-of-semiprime-left-noetherian-rings-with-large-images-an-affirmative-answer-to-leroy-and-matczuk-s-question


Injectivity of Endomorphisms of Semiprime Left Noetherian Rings with Large Images: An Affirmative Answer to Leroy and Matczuk's Question
