Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Polo, Harold"'
Autor:
Kaplan, Nathan, Polo, Harold
A semidomain is a subsemiring of an integral domain. One can think of a semidomain as an integral domain in which additive inverses are no longer required. A semidomain $S$ is additively reduced if $0$ is the only invertible element of the monoid $(S
Externí odkaz:
http://arxiv.org/abs/2312.14888
Autor:
Liao, Sophia, Polo, Harold
We establish an analogue of the Goldbach conjecture for Laurent polynomials with positive integer coefficients.
Comment: This paper will appear in the American Mathematical Monthly
Comment: This paper will appear in the American Mathematical Monthly
Externí odkaz:
http://arxiv.org/abs/2312.01189
Autor:
Gotti, Felix, Polo, Harold
A semidomain is an additive submonoid of an integral domain that is closed under multiplication and contains the identity element. Although atomicity and divisibility in integral domains have been systematically investigated for more than thirty year
Externí odkaz:
http://arxiv.org/abs/2306.01373
Autor:
Chapman, Scott T., Polo, Harold
A subset $S$ of an integral domain $R$ is called a semidomain if the pairs $(S,+)$ and $(S, \cdot)$ are semigroups with identities; additionally, we say that $S$ is additively reduced provided that $S$ contains no additive inverses. Given an additive
Externí odkaz:
http://arxiv.org/abs/2209.13817
Autor:
Gotti, Felix, Polo, Harold
A subset $S$ of an integral domain $R$ is called a semidomain provided that the pairs $(S,+)$ and $(S, \cdot)$ are semigroups with identities. The study of factorizations in integral domains was initiated by Anderson, Anderson, and Zafrullah in 1990,
Externí odkaz:
http://arxiv.org/abs/2203.11478
Autor:
Polo, Harold
We provide a characterization of the positive monoids (i.e., additive submonoids of the nonnegative real numbers) that satisfy the finite factorization property. As a result, we establish that positive monoids with well-ordered generating sets satisf
Externí odkaz:
http://arxiv.org/abs/2108.03195
Autor:
Polo, Harold
Exponential Puiseux semirings are additive submonoids of $\qq_{\geq 0}$ generated by almost all of the nonnegative powers of a positive rational number, and they are natural generalizations of rational cyclic semirings. In this paper, we investigate
Externí odkaz:
http://arxiv.org/abs/2104.02127
Autor:
Polo, Harold
A numerical monoid is a cofinite additive submonoid of the nonnegative integers, while a Puiseux monoid is an additive submonoid of the nonnegative cone of the rational numbers. Using that a Puiseux monoid is an increasing union of copies of numerica
Externí odkaz:
http://arxiv.org/abs/2007.09406
A Puiseux monoid is an additive submonoid of the nonnegative cone of the rational numbers. We say that a Puiseux monoid $M$ is exponential provided that there exist a positive rational $r$ and a set $S$ consisting of nonnegative integers, which conta
Externí odkaz:
http://arxiv.org/abs/2006.07791
Autor:
Polo, Harold
In this paper, we study some of the factorization aspects of rational multicyclic monoids, that is, additive submonoids of the nonnegative rational numbers generated by multiple geometric sequences. In particular, we provide a complete description of
Externí odkaz:
http://arxiv.org/abs/2001.06158