Some remarks about trunks and morphisms of neural codes

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ma_9_1_christensen_kulosman_final.pdf(664.58 KB)
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2020
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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Abstract
We give intrinsic characterizations of neural rings and homomorphismsbetween them. Also we introduce the notion of a basic monomial code map andcharacterize monomial code maps as compositions of basic monomial code maps.Finally, we characterize monomial isomorphisms between neural codes. Our workis based on the 2015 paper by C. Curto and N. Youngs about neural ring homo-morphisms and maps between neural codes and on the 2018 paper by R. Amzi Jeffsabout morphisms of neural rings.
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neural code, neural ring, morphisms between neural codes and rings, isomorphismsbetween neural codes and rings, trunk, monomial map, linear monomial map
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Mathematics for Applications. 2020 vol. 9, č. 1, s. 3-16. ISSN 1805-3629
http://ma.fme.vutbr.cz/archiv/9_1/ma_9_1_christensen_kulosman_final.pdf
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en
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© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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10.13164/ma.2020.01
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http://hdl.handle.net/11012/195178
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2020/1
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