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pro vyhledávání: '"Clayton, Ashley"'
Let $\mathbb{Z}$ be the additive (semi)group of integers. We prove that for a finite semigroup $S$ the direct product $\mathbb{Z}\times S$ contains only countably many subdirect products (up to isomorphism) if and only if $S$ is regular. As a corolla
Externí odkaz:
http://arxiv.org/abs/2404.18122
Publikováno v:
JMIR Mental Health, Vol 7, Iss 12, p e24021 (2020)
The COVID-19 pandemic has intensified the search for digital approaches in mental health treatment, particularly due to patients and clinicians practicing social distancing. This has resulted in the dramatic growth of videoconferencing-based telement
Externí odkaz:
https://doaj.org/article/19a2be602e3c4fd382c395ec150803b1
We extend a recent result that for the (additive) semigroup of positive integers $\mathbb{N}$, there are continuum many subdirect products of $\mathbb{N} \times \mathbb{N}$ up to isomorphism. We prove that for $U,V$ each one of $\mathbb{Z}$ (the grou
Externí odkaz:
http://arxiv.org/abs/2311.04994
Autor:
Clayton, Ashley, Ruskuc, Nik
In 1981/82, Hickin \& Plotkin and McKenzie both proved that a finite group has only countably many non-isomorphic subdirect powers if and only if it is abelian. In this paper, we prove that a finite commutative semigroup has only countably many non-i
Externí odkaz:
http://arxiv.org/abs/2208.14854
Akademický článek
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Autor:
Clayton, Ashley
We consider necessary and sufficient conditions for finite generation and finite presentability for fiber products of free semigroups and free monoids. We give a necessary and sufficient condition on finite fiber quotients for a fiber product of two
Externí odkaz:
http://arxiv.org/abs/1907.01378
Autor:
Clayton, Ashley B.1 aclayton@lsu.edu, Worsham, Rachel E.2
Publikováno v:
Innovative Higher Education. Feb2024, Vol. 49 Issue 1, p1-24. 24p.
Autor:
Clayton, Ashley, Ruskuc, Nik
The direct product $\mathbb{N}\times\mathbb{N}$ of two free monogenic semigroups contains uncountably many pairwise non-isomorphic subdirect products. Furthermore, the following hold for $\mathbb{N}\times S$, where $S$ is a finite semigroup. It conta
Externí odkaz:
http://arxiv.org/abs/1803.08091
Autor:
Clayton, Ashley Rebecca
Proper activation and regulation of innate immune signaling pathways and inflammatory responses are essential to efficiently fight infection. Dysregulation of these responses, however, can result in the development of a severe hyper-inflammatory stat
Externí odkaz:
http://hdl.handle.net/2429/48602
Autor:
Clayton, Ashley, Harsch, Stefan, Rendle, Matthew, Jadhav, Shashikant Shivaji, Hess, Aaron R. G. S.
Publikováno v:
Journal of Avian Medicine and Surgery, 2020 Jun 01. 34(2), 158-163.
Externí odkaz:
https://www.jstor.org/stable/48686331