Zobrazeno 1 - 10
of 1 906
pro vyhledávání: '"realization theorem"'
Autor:
Rago, Balint, Spirito, Dario
An integral domain $D$ is called an SP-domain if every ideal is a product of radical ideals. Such domains are always almost Dedekind domains, but not every almost Dedekind domain is an SP-domain. The SP-rank of $D$ provides a natural measure of the d
Externí odkaz:
http://arxiv.org/abs/2405.04512
Autor:
Shamkanov, Daniyar
Publikováno v:
Izv. RAN. Ser. Mat., 89:2 (2025)
We present a justification logic corresponding to the modal logic of transitive closure $\mathsf{K}^+$ and establish a normal realization theorem relating these two systems. The result is obtained by means of a sequent calculus allowing non-well-foun
Externí odkaz:
http://arxiv.org/abs/2402.04027
Extension of the Bessmertnyi Realization Theorem for Rational Functions of Several Complex Variables
Autor:
Stefan, Anthony, Welters, Aaron
We prove a realization theorem for rational functions of several complex variables which extends the main theorem of M. Bessmertnyi, "On realizations of rational matrix functions of several complex variables," in Vol. 134 of Oper. Theory Adv. Appl.,
Externí odkaz:
http://arxiv.org/abs/2010.08088
Publikováno v:
Annual of Sofia University "St. Kliment Ohridski'', Faculty of Mathematics and Informatics vol. 106 (2019) 25-51
For a real degree $d$ polynomial $P$ with all nonvanishing coefficients, with $c$ sign changes and $p$ sign preservations in the sequence of its coefficients ($c+p=d$), Descartes' rule of signs says that $P$ has $pos\leq c$ positive and $neg\leq p$ n
Externí odkaz:
http://arxiv.org/abs/1911.12255
Autor:
Geroldinger, Alfred, Schmid, Wolfgang
We show that for every finite nonempty set L of integers greater than or equal to 2 there are a numerical monoid H and a squarefree element a $\in$ H whose set of lengths L(a) is equal to L.
Comment: Forum Math., to appear
Comment: Forum Math., to appear
Externí odkaz:
http://arxiv.org/abs/1710.04388
Autor:
Lawson, Mark V
We introduce a class of inverse monoids, called Tarski monoids, that can be regarded as non-commutative generalizations of the unique countable, atomless Boolean algebra. These inverse monoids are related to a class of etale topological groupoids und
Externí odkaz:
http://arxiv.org/abs/1704.03674
Autor:
Geroldinger, Alfred, Schmid, Wolfgang
Publikováno v:
Journal of Algebra, Elsevier, 2017
Let $H$ be an atomic monoid. The set of distances $\Delta (H)$ of $H$ is the set of all $d \in \mathbb{N}$ with the following property: there are irreducible elements $u\_1, \ldots, u\_k, v\_1 \ldots, v\_{k+d}$ such that $u\_1 \cdot \ldots \cdot u\_k
Externí odkaz:
http://arxiv.org/abs/1608.06407
Autor:
Kostov, Vladimir Petrov
Publikováno v:
Bull. Sci. Math. 136, No. 5 (2012) 507-520
Every polynomial of the form $P=(x+1)(x^{n-1}+c_1x^{n-2}+\cdots +c_{n-1})$ is representable as Schur-Szeg\H{o} composition of $n-1$ polynomials of the form $(x+1)^{n-1}(x+a_i)$, where the numbers $a_i$ are unique up to permutation. We give necessary
Externí odkaz:
http://arxiv.org/abs/1504.01562
Publikováno v:
In Journal of Algebra 1 July 2017 481:188-198
Autor:
Lawson, Mark V
We introduce a class of inverse monoids that can be regarded as non-commutative generalizations of Boolean algebras. These inverse monoids are related to a class of \'etale topological groupoids, under a non-commutative generalization of classical St
Externí odkaz:
http://arxiv.org/abs/1407.1473