{"title":"关于同伦核的交叉多方型","authors":"M. Dehghani, B. Davvaz, M. Alp","doi":"10.30495/JME.V0I0.1778","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the notion of braiding crossed polymodule and $\\Gamma$\\_equivariant braided crossed polymodule of polygroups and we give some of its properties. Further we have concept Fiber hyper product. Our results extend the classical results of crossed squares to crossed polysquares. One of the main tools in the study to polygroups is the fundamental relations. Additionally, we study on crossed polysquare version of homotopy kernels.","PeriodicalId":43745,"journal":{"name":"Journal of Mathematical Extension","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2021-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On crossed polysquare version of homotopy kernels\",\"authors\":\"M. Dehghani, B. Davvaz, M. Alp\",\"doi\":\"10.30495/JME.V0I0.1778\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce the notion of braiding crossed polymodule and $\\\\Gamma$\\\\_equivariant braided crossed polymodule of polygroups and we give some of its properties. Further we have concept Fiber hyper product. Our results extend the classical results of crossed squares to crossed polysquares. One of the main tools in the study to polygroups is the fundamental relations. Additionally, we study on crossed polysquare version of homotopy kernels.\",\"PeriodicalId\":43745,\"journal\":{\"name\":\"Journal of Mathematical Extension\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2021-03-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Extension\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30495/JME.V0I0.1778\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Extension","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30495/JME.V0I0.1778","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this paper, we introduce the notion of braiding crossed polymodule and $\Gamma$\_equivariant braided crossed polymodule of polygroups and we give some of its properties. Further we have concept Fiber hyper product. Our results extend the classical results of crossed squares to crossed polysquares. One of the main tools in the study to polygroups is the fundamental relations. Additionally, we study on crossed polysquare version of homotopy kernels.
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