Article

Color Theory through Algebra of Sets

February 1963
School Science and Mathematics 63(2):81-83

DOI:10.1111/j.1949-8594.1963.tb16925.x

Authors:

ExpectoPatronum: Fisica e Mistero ai tempi dell’Inquiry

Article

Nov 2018

È stata condotta, usando il modello Inquiry delle 5E, una sperimentazione in otto classi prime di Istituti Secondari di II grado della regione Campania nell’ambito del progetto “Liceo Matematico”. In questo lavoro sono mostrati tre diversi Extend realizzati dagli studenti: un disco di Newton costruito con i Lego azionato attraverso un dispositivo bluetooth, il legame tra le operazioni con gli insiemi e la sintesi additiva e sottrattiva dei colori, l’effetto McGurk.

ResearchGate has not been able to resolve any references for this publication.

Preprint

Full-text available

Criteria for Algebraicity of Analytic Functions

November 2018

We consider functions defined on an open subset of a nonsingular, either real or complex, algebraic set. We give criteria for an analytic function to be a Nash (resp. regular, resp. polynomial) function. Our criteria depend only on the behavior of such a function along irreducible nonsingular algebraic curves passing trough a given point. In the proofs we use results on algebraicity of formal ... [Show full abstract] power series, which are also established in this paper.

Article

Van Kampen theory for algebraic stacks

January 2002 · Annales mathématiques Blaise Pascal

Vincent Zoonekynd

We define a category whose objects are finite etale coverings of an algebraic stack and prove that it is a Galois category and that it allows one to compute the fundamental group of the stack. We then prove a Van Kampen theorem for algebraic stacks whose simplest form reads : Let U and V be open substacks of an algebraic stack X with X = U U V, let P be a set of base points, at least one in each ... [Show full abstract] connected component of X, U, V and U n V, then there is a cocartesian square of fundamental progroupoids Formula math.

Article

Algebra of sets applied to solution of graph theory problems

B. Shneyder

Article

Full-text available

Some Conditions Under Which Jordan Derivations Are Zero

September 2016 · Journal of Taibah University for Science

In the current article, we obtain the following results: Let A be an algebra and P be a semi-prime ideal of A. Suppose that d:Aâ(A/P) is a Jordan derivation such that dim{d(a)|aâA}â¤1. If d(P)={0}, then d is zero. As an application of this result, we prove that if A is an algebra such that âPâÎ£(A)P={0}, where Î£(A) denotes the set of all semi-prime ideals of A, and further each ... [Show full abstract] semi-prime ideal of A is of codimension 1, then A is commutative. MSC: 47B47, 13N15, Keywords: Derivation, Jordan derivation, Semi-prime ideal, SingerâWermer Theorem

Article

Intertwining operators and modular invariance

November 2000

Masahiko Miyamoto

We extend the modular invariance property of the trace functions of vertex operator algebra on the set of irreducible modules (Zhu's theory) to the case of trace functions of intertwining operators.

Chapter

A Simplified Nyström-Tree Theory for ERKN Integrators Solving Oscillatory Systems

January 2015

In the study of extended Runge-Kutta-Nyström (ERKN) methods for the integration of multi-frequency oscillatory systems, a quite complicated set of algebraic conditions arises which must be satisfied for a method to achieve some specified order.

Article

Full-text available

A note on minimal envelopes of Douglas algebras, minimal support sets, and restricted Douglas algebr...

January 2001 · International Journal of Mathematics and Mathematical Sciences

Guillory Carroll

We characterize the interpolating Blaschke products of finite type in terms of their support sets. We also give a sufficient condition on the restricted Douglas algebra of a support set that is invariant under the Bourgain map, and its minimal envelope is singly generated.

Article

Lines on algebraic varieties

December 2001

J. M. Landsberg

A variety $X$ is covered by lines if there exist a finite number of lines contained in $X$ passing through each general point. I prove two theorems. Theorem 1:Let $X^n\subset P^M$ be a variety covered by lines. Then there are at most $n!$ lines passing through a general point of $X$. Theorem 2:Let $X^n\subsetP^{n+1}$ be a hypersurface and let $x\in X$ be a general point. If the set of lines ... [Show full abstract] having contact to order $k$ with $X$ at $x$ is of dimension greater than expected, then the lines having contact to order $k$ are actually contained in $X$.

Article

The Orbit Structures of (, σ)-Irreducible Monoids

December 2006 · Communications in Algebra

Many interesting (, σ)-irreducible monoids belong to the category of 2-reducible algebraic monoids, i.e., the reductive monoids with exactly two minimal G × G-orbits. Putcha and Renner recently found a combinatorial recipe to determine orbit structures of the 2-reducible algebraic monoids by certain invariants (I +, I −) and (Δ+,Δ−). In this article we give a complete description of the orbit ... [Show full abstract] structures of the (, σ)-irreducible monoids by Putcha and Renner's recipe when σ2 induces the identity on the set of G × G-orbits. This solves all the open problems on finding the orbit structures of (, σ)-irreducible monoids of type (n ≥ 4) and .

Article

Common Hermitian and positive solutions to the adjointable operator equations A X = C , X B = D

July 2008 · Linear Algebra and its Applications

Qingxiang Xu

Let A be a C∗-algebra. For any Hilbert A-modules H and K, let L(H,K) be the set of adjointable operators from H to K. Let H,K,L be Hilbert A-modules, A,C∈L(H,K) and B,D∈L(L,H). In this paper, we propose necessary and sufficient conditions for the existence of common hermitian and positive solutions X∈L(H) to the equations AX=C,XB=D, and obtain the formulae for the general forms of these ... [Show full abstract] solutions. Some results, known for finite matrices and Hilbert space operators, are extended to the adjointable operators acting on Hilbert C∗-modules.

Article

L’estensione alle algebre di Boole della nozione di Jacobiano

A. Fadini

Article

Full-text available

On Fuzzy Multigroups and Fuzzy Submultigroups

August 2018

Paul Augustine Ejegwa

The concept of fuzzy multigroups is the algebraic structure of fuzzy multisets and hence the extension of the notion of fuzzy groups. This paper studies fuzzy multigroups and proposes the idea of fuzzy multigroupoids. It is shown that the level set of a fuzzy multigroup is a subgroup of a group. The notion of fuzzy submultigroups is introduced and some related results are established.