{"title":"Categorical properties of some algorithms of differentiation for equipped posets","authors":"Isaías David Marín Gaviria, A. M. Cañadas","doi":"10.12958/adm1647","DOIUrl":null,"url":null,"abstract":"In this paper it is proved that the algorithms of differentiation VIII-X (introduced by A.G. Zavadskij to classify equipped posets of tame representation type) induce categorical equivalences between some quotient categories, in particular, analgorithm Az is introduced to build equipped posets with a pair ofpoints (a, b) suitable for differentiation VII such that the subset of strong points related with the weak pointais not empty.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebra & Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12958/adm1647","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper it is proved that the algorithms of differentiation VIII-X (introduced by A.G. Zavadskij to classify equipped posets of tame representation type) induce categorical equivalences between some quotient categories, in particular, analgorithm Az is introduced to build equipped posets with a pair ofpoints (a, b) suitable for differentiation VII such that the subset of strong points related with the weak pointais not empty.
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