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Idempotents and homology of diagram algebras. [PDF]

Math Ann
Boyde G.
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"In Mathematical Language": On Mathematical Foundations of Quantum Foundations. [PDF]

Entropy (Basel)
Plotnitsky A.
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Algebraic properties of number theories

Israel Journal of Mathematics, 1975
Among other things we prove the following. (A) A number theory is convex if and only if it is inductive. (B) No r.e. number theory has JEP. (C) No number theory has AP. We also give some information about the hard cores of number theories.
H. Simmons, H. Simmons, Angus Macintyre, Angus Macintyre   +3 more
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Foundations of the Theory of Algebraic Numbers

Nature, 1932
THIS is the first volume of Prof. Hancock's work and is intended as an introduction to the second volume. Its size shows that he is engaged in no light task. His object is to help in making the theory of algebraic numbers more accessible, more attractive, and less difficult.
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On a problem in algebraic number theory

Mathematical Proceedings of the Cambridge Philosophical Society, 1996
Let K be an algebraic number field. If q is a prime ideal of the ring of integers of K and α is a number of K prime to q then Mq(α) denotes the multiplicative group generated by α modulo q. In the paper [5] there is the remark: ‘We do not know whether for all a, b, c ∈ ℚ with abc ≠ 0, |a| ≠ 1,|b| ≠ 1,|c| ≠ 1 there exist infinitely many primes q with Mq
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Algebraic Aspects of Number Theory

2014
Chapter 10 discusses some more interesting properties of integers, in particular, properties of prime numbers and primality testing by using the tools of modern algebra, which are not studied in Chap. 1. In addition, the applications of number theory, particularly those directed towards theoretical computer science, are presented.
Mahima Ranjan Adhikari, Avishek Adhikari
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The Roots of Commutative Algebra in Algebraic Number Theory

Mathematics Magazine, 1995
To put the issues in a broader context, these three number-theoretic problems were instrumental in the emergence of algebraic number theory-one of the two main sources of the modern discipline of commutative algebra.' The other source was algebraic geometry.
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Computational Algebra and Number Theory

1995
Preface. 1: Calculating Growth Functions for Groups Using Automata M. Brazil. 2: The Minimal Faithful Degree of a Finite Commutative Inverse Semigroup S. Byleveld, D. Easdown. 3: Generalizations of the Todd-Coxeter Algorithm S. A. Linton. 4: Computing Left Kan Extensions Using the Todd-Coxeter Procedure M. Leeming, R. F. C. Walters. 5: Computing Finite
A. J. Van Der Poorten, Wieb Bosma
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