关于神经代码的主干和态射的一些评论
Some remarks about trunks and morphisms of neural codes
摘要:
我们给出了神经环的内在特征和它们之间的同态。我们还引入了基本单项码映射的概念,并将单项码映射刻画为基本单项码映射的合成。最后,我们刻画了神经代码之间的单项同构。我们的工作基于C.~ 2015年的论文。Curto和N.~ Youngs关于神经环同态和神经代码之间的映射,以及R.~ 2018年的论文Amzi Jeffs关于神经环的态射。
英文摘要:
We give intrinsic characterizations of neural rings and homomorphisms between them. Also we introduce the notion of a basic monomial code map and characterize monomial code maps as compositions of basic monomial code maps. Finally, we characterize monomial isomorphisms between neural codes. Our work is based on the 2015 paper by C.~Curto and N.~Youngs about neural ring homomorphisms and maps between neural codes and on the 2018 paper by R.~Amzi Jeffs about morphisms of neural rings.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。