Results 41 to 50 of about 1,501,853 (289)
A characterization of half-factorial orders in algebraic number fields [PDF]
We give an algebraic characterization of half-factorial orders in algebraic number fields. This generalizes prior results for seminormal orders and for orders in quadratic number fields.
arxiv
Measuring the gap between elicited and revealed risk for investors: An empirical study
Abstract Financial advisors use questionnaires and discussions with clients to determine investment goals, elicit risk preference and tolerance and establish a suitable portfolio allocation for different risk categories. Financial institutions assign risk ratings to their financial products.
John R. J. Thompson+4 more
wiley +1 more source
On novel security systems based on the 2-cyclic refined integers and the foundations of 2-cyclic refined number theory [PDF]
Integers play a basic role in the structures of asymmetric crypto-algorithms. Many famous public key crypto-schemes use the basics of number theory to share keys and decrypt and encrypt messages and multimedia.
Mohammad Abobala+2 more
doaj +1 more source
We introduce the notion of a multi-fan. It is a generalization of that of a fan in the theory of toric variety in algebraic geometry. Roughly speaking a toric variety is an algebraic variety with an action of algebraic torus of the same dimension as that
Hattori, Akio, Masuda, Mikiya
core +3 more sources
Singular Moduli that are Algebraic Units [PDF]
We prove that only finitely many $j$-invariants of elliptic curves with complex multiplication are algebraic units. A rephrased and generalized version of this result resembles Siegel's Theorem on integral points of algebraic curves.
arxiv +1 more source
This paper considers the birth of algebraic proof by looking at the works of Cardano, Viète, Harriot and Pell. The transition from geometric to algebraic proof was mediated by appeals to the Eudoxan theory of proportions in book V of Euclid.
Brendan Larvor
doaj +1 more source
Algebraic geometry in mixed characteristic [PDF]
Fix a prime number $p$. We report on some recent developments in algebraic geometry (broadly construed) over $p$-adically complete commutative rings. These developments include foundational advances within the subject as well as external applications.
arxiv
Which canonical algebras are derived equivalent to incidence algebras of posets? [PDF]
We give a full description of all the canonical algebras over an algebraically closed field that are derived equivalent to incidence algebras of finite posets. These are the canonical algebras whose number of weights is either 2 or 3.
arxiv +1 more source
The nilpotent structure of open-closed string field theory
In this note we revisit the homotopy-algebraic structure of oriented bosonic open-closed string field theory and we give a new compact formulation in terms of a single cyclic open-closed co-derivation which defines a single nilpotent structure describing
Carlo Maccaferri+2 more
doaj +1 more source
Formalizing Fundamental Algebraic Number Theory [PDF]
The research described in my thesis involves the extension and maintenance of the library of formal mathematics Mathlib for the interactive theorem prover Lean.
Baanen, Anne
core +1 more source