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On Quantum Relations. [PDF]

Entropy (Basel)
Dubois F, Toffano Z.
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CAP: Commutative algebra prediction of protein-nucleic acid binding affinities. [PDF]

Mach Learn Sci Technol
Zia M, Suwayyid F, Hozumi Y, Wee J, Feng H, Wei GW.   +5 more
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ON NONMONOGENIC ALGEBRAIC NUMBER FIELDS

Rocky Mountain Journal of Mathematics, 2023
Let \(p\) be a prime number and \(f (x) = x^{p^ s}- ax^m- b\) belonging to \(\mathbb Z[x]\) be an irreducible polynomial. Let \( K = \mathbb Q(\theta )\) be an algebraic number field with \(\theta\) a root of \( f (x)\). Let \(r_1\) stand for the highest power of \(p\) dividing \(b^{p^s}- b -ab^m.\) This paper gives some explicit conditions involving ...
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Realizing Algebraic Number Fields

1983
In the paper [13], the authors studied the problem of realizing rational division algebras in a special way. Let D be a division algebra that is finite dimensional over the rational field Q. If p is a prime, we say that D is p-realizable when there is a p-local torsion free abelian group A whose rank is the dimension of D over Q, such that D is ...
R. S. Pierce, C. I. Vinsonhaler
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On the Class Numbers of Algebraic Number Fields

Journal of Mathematical Sciences, 2015
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Algebraic Number Fields

2019
A complex number \(\xi \) is called an algebraic integer if \(\mathbf {Z}[ \xi ]\) is a finitely generated \(\mathbf {Z}\)-module; this condition is equivalent to the fact that \(f( \xi )=0\) for some polynomial \(f(X)=X^m+a_1X^{m-1}+ \cdots +a_m\), \(a_i \in \mathbf {Z}\). Let \(\mathbf {A}\) be the set of all algebraic integers.
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