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411 REFERENCE · Wiktionary

Abelian

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abelian English Etymology en :af Abel -ian + 1 Adjective - en mathematics group theory dated en abelian. en 1904 Florian Cajori An Introduction to the Modern Theory of Equations https://books.google.com.au/books?id=NZt3wFzq5aoC&q=%22abelian%22&dq=%22abelian%22&hl=en&sa=X&ved=0ahUKEwib4ozj-aHXAhVF7mMKHdyDCQc4rAIQ6AEIRzAI 214 The MacMillan Company Ex. 2. Show by §§ 187, 188 that there can be no transitive Abelian group of prime degree other than the cyclic group, and that there is no irreducible Abelian equation of prime degree other than the cyclic equation. en 1914 Charles Gustave Paul Kuschke The Abelian Equations of the Tenth Degree Irreducible in a Given Domain of Rationality https://books.google.com.au/books?id=m2ZRAQAAMAAJ&q=%22abelian%22&dq=%22abelian%22&hl=en&sa=X&ved=0ahUKEwjDsNiH96HXAhWG7YMKHdzkAPY4yAEQ6AEIXzAO 118 w:University of California Press All irreducible Abelian equations of the tenth order belong to the cyclical group of order ten,. en 2004 Friedrich Kasch; Adolf Mader Rings, Modules, and the Total Springer (Birkhäuser) https://books.google.com.au/books?id=Npg5a4pEIQQC&pg=PA101&dq=%22abelian%22&hl=en&sa=X&ved=0ahUKEwiQxObU85rXAhVMG5QKHb6eDPIQ6AEInQQwWA#v=onepage&q=%22abelian%22&f=false 101 In this chapter "group" means torsion free Abelian group. The "bible" of Abelian group theory is the two volume work of Fuchs [11]. Derived terms en non-Abelian Noun en Christianity historical A member of a sect in fourth-century Africa mentioned by St. Augustine, who states that they married but lived in continence after the manner, as they claimed, of Abel. 1826, unnamed translator, Pierre Bayle, An Historical and Critical Dictionary [1697, Dictionnaire Historique et Critique; 1709, Historical and Critical Dictionary], Selected and Abridged, Volume 1, page 50, The Abelians were only a moderate sort of Encratites and Novatians, who absolutely condemned matrimony, while the Abelians approved of and retained it. en 1833 James Flamank A Treatise on Happiness https://books.google.com.au/books?id=ackAW8pf12MC&pg=PA222&dq=%22abelians%22&hl=en&sa=X&ved=0ahUKEwiCyZeq_qHXAhVD_4MKHVHqAKIQ6AEIlQIwKw#v=onepage&q=%22abelians%22&f=false 222 A difference of opinion existed as to the moral effects of matrimony among the early Christians; the Abelians, for instance, suffered no member of their sect to remain single, while the Novatians condemned marriage under every circumstance. en 1951 w:Reginald Reynolds Beds: with many noteworthy instances of lying on, under, or about them https://books.google.com.au/books?id=jNRCAQAAIAAJ&q=%22abelians%22&dq=%22abelians%22&hl=en&sa=X&ved=0ahUKEwiCyZeq_qHXAhVD_4MKHVHqAKIQ6AEIcTAN 256 Doubleday If we include heretical sects there is perhaps some similarity to be traced between the syneisaktism of certain Catholic enthusiasts and the customs of the Abelians or Abelonians, who took their name from Abel. Synonyms member of a sect en Abelite, en Abelonian, en Abelonite, en Abeloite, en Abenonite. Translations member of a sect living like Abel French: fr abélien m, fr abélienne f, fr abélite m f, fr abélonien m, fr abélonienne f German: de Abelianer m, de Abelianerin f, de Abelit m, de Abelitin f Latin: la Abelonii m Portuguese: pt abeliano m Spanish: es abelonita m f Anagrams en aabeiln Liébana en eponyms