ring of integers oor Koreaans
ring of integers
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Dedekind formulated his theory in the ring of integers of an algebraic number field.
아래 콤보 상자에서 선택한 사용자를 미리 선택합니다. 한 사용자가 컴퓨터를 자주 사용할 때 이 설정을 사용하십시오ParaCrawl Corpus ParaCrawl Corpus
Continuing his research, he studied arithmetic in the ring of integers in algebraic number fields .
상점의 평가 정보를 생성하는 서버 및 방법, 그리고 평가 정보를 수신하는 디바이스ParaCrawl Corpus ParaCrawl Corpus
He studied rings of integers in algebraic number fields , giving a divisibility theory for such rings developing ideas which had been introduced by Kummer.
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This involves studying the ring of integer quaternions in which there are 24 units. He shows that one-sided ideals are principal and introduces prime and primary quaternions.
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In addition to work on Hilbert 's Tenth Problem, Robinson also wrote other important mathematics papers: on general recursive functions (1950), on primitive recursive functions (1955), on the undecidability of algebraic rings and fields (1959) and on decision problems for algebraic rings in 1962 in which she showed that rings of integers of various fields of algebraic numbers are undecidable.
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The theory of Galois module structure of rings of algebraic integers has been developed by the author and others during the last twenty years, and the book under review contains a detailed survey of it.
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... undoubtedly the high point of Ali's mathematical life; it related the algebraic Galois structure of rings of integers to an analytic invariant in an entirely new and sensational way. it thrust him and his subject to the fore on the world stage; in particular he was invited to present his work at the International Congress of Mathematicians in 1974. Further developments leading on from this paper led to Fröhlich receiving the Senior Berwick Prize from the London Mathematical Society in 1976.
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In 1843 Kummer, realising that attempts to prove Fermat's Last Theorem broke down because the unique factorisation of integers did not extend to other rings of complex numbers, attempted to restore the uniqueness of factorisation by introducing 'ideal' numbers.
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Further important results in number theory by Euler included his proof of Fermat's Last Theorem for the case of n = 3. Perhaps more significant than the result here was the fact that he introduced a proof involving numbers of the form a + b √-3 for integers a and b. Although there were problems with his approach this eventually led to Kummer 's major work on Fermats Last Theorem and to the introduction of the concept of a ring .
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