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pro vyhledávání: '"del Valle, Joel Torres"'
In the realm of supercommutative superrings, this article investigates the unique factorization of elements. We build upon recent findings by Naser et. al. concerning similar results in noncommutative symmetric rings with zerodivisors, delving deeper
Externí odkaz:
http://arxiv.org/abs/2402.07096
We introduce the concept of Dedekind superrings, investigate its properties, and compare them to those of the classical Dedekind rings. We also define invertible supermodules, fractional superideals, the Picard group of a superring, and the ideal cla
Externí odkaz:
http://arxiv.org/abs/2310.03822
In this work we propose a notion of genus in the context of Zariski geometries and we obtain natural generalizations of the Riemann--Hurwitz Theorem and the Hurwitz Theorem in the context of very ample Zariski geometries. As a corollary, we show that
Externí odkaz:
http://arxiv.org/abs/2110.02218
Autor:
Del valle, Joel Torres
In this pages I give an overview of the relationship between Model Theory, Arithmetic and Algebraic Geometry. The topics will be the basic ones in the area, so this is just an invitation, in the presentation of topics I mainly follow the philosophy o
Externí odkaz:
http://arxiv.org/abs/1905.00278
Autor:
Del valle, Joel Torres
This is an exposition of facts about Arithmetic with an approach via mathematical logic. In Section 1 we present Peano Arithmetic, PA, and the complete theory of $\mathbb{N}$, and we show that $\mathbb{N}$ is a prime model of the theory of $\mathbb{N
Externí odkaz:
http://arxiv.org/abs/1901.04440
Autor:
Del valle, Joel Torres
A historical review of the problem of incompleteness in Mathematics since the 20th century is made. The Combinatorial Principle of Paris-Harrington is studied and the way in which it can be codified in the language of Arithmetic.
Externí odkaz:
http://arxiv.org/abs/1804.11194