Results 11 to 20 of about 29,705 (142)
Supergeometry and Arithmetic Geometry [PDF]
, 2006 We define a superspace over a ring $R$ as a functor on a subcategory of the category of supercommutative $R$-algebras. As an application the notion of a $p$-adic superspace is introduced and used to give a transparent construction of the Frobenius map on
A. Schwarz +11 more
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Finite automata and algebraic extensions of function fields [PDF]
, 2005 We give an automata-theoretic description of the algebraic closure of the rational function field F_q(t) over a finite field, generalizing a result of Christol.
Kedlaya, Kiran S.
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On the Ring of Integers in an Algebraic Number Field as a representation Module of Galois Group [PDF]
Nagoya Mathematical Journal, 1960 1. Introduction. It is known that there are only three rationally inequivalent classes of indecomposable integral representations of a cyclic group of prime order l. The representations of these classes are: (I) identical representation,(II) rationally irreducible representation of degree l – 1,(III) indecomposable representation consisting of one ...
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Functional Equations Associated to Collatz-Type Maps on Integer Rings of Algebraic Number Fields
, 2021 Withdrawn due to an error in section three, where the structure of the quotient of a ring of algebraic integers modulo an ideal thereof was not incorrectly ...
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Semi-galois Categories II: An arithmetic analogue of Christol's theorem
, 2018 In connection with our previous work on semi-galois categories, this paper proves an arithmetic analogue of Christol's theorem concerning an automata-theoretic characterization of when a formal power series over finite field is algebraic over the ...
Uramoto, Takeo
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AIChE Journal, EarlyView.Abstract Despite extensive modeling efforts in extraction research, transient column models are rarely applied in industry due to concerns regarding parameter identifiability and model reliability. To address this, we analyzed uncertainty propagation from estimated parameters in a previously introduced column model and assessed identifiability via ill ...
Andreas Palmtag +2 more
wiley +1 more source
Hybrid structure of maximal ideals in near rings
Complex & Intelligent SystemsA hybrid structure is an arrangement that makes use of many hierarchical reporting structures and is applied to algebraic structures such as groups and rings.
B. Jebapresitha
doaj +1 more source
Additive unit representations in global fields - A survey [PDF]
, 2011 We give an overview on recent results concerning additive unit representations. Furthermore the solutions of some open questions are included. The central problem is whether and how certain rings are (additively) generated by their units.
Barroero, Fabrizio +2 more
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
An arithmetic site for the rings of integers of algebraic number fields
Inventiones mathematicae, 1996 Let \(K\) be an algebraic number field and \(S\) a finite set of primes of \(K\) containing the infinite primes and the primes dividing a given prime number \(p\). Let \(G_S (p)\) be the Galois group of the maximal \(p\)-extension of \(K\) unramified outside \(S\).
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