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Modern algebra and polynomial ideals

1934/01/01 by F. S. Macaulay · 2 citations
Computer Science · Mathematics · #Algebra over a field #Artificial intelligence #Commutative Algebra and Its Applications #Computer science #Epistemology #Exposition (narrative) #Homomorphic encryption #Mathematics #Philosophy #Polynomial #Polynomial and algebraic computation #Programming language #Pure mathematics #Rings, Modules, and Algebras #Scope (computer science) #Selection (genetic algorithm) #Statement (logic)

paper · doi:10.1017/s0305004100012354

openalex publication_date 1934/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21

Abstract

The aim of the following exposition is to give some idea of the scope of modern algebra in the light of the theory of ideals. It consists for the most part of definitions, examples, and the statement of theorems without proof; but the selection is severely restricted even in idealtheory. Thus no reference is made to the highly important matter of homomorphic, or multiply isomorphic, correspondence and its consequences.

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