{"title":"The Monoidal Hom–Hopf Algebra Arising From Partial Hom-Actions","authors":"Ling Jia","doi":"10.1007/s41980-024-00873-0","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we mainly focus on how to use Hom-partial actions to construct a new monoidal Hom–Hopf algebra. For this, we first introduce the notions of partial Hom–Smash products and partial Hom–Smash coproducts. Then, partial matched Hom-pairs are established to construct monoidal Hom–Hopf algebras, as application, some concrete examples are elaborated.</p>","PeriodicalId":9395,"journal":{"name":"Bulletin of The Iranian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of The Iranian Mathematical Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s41980-024-00873-0","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we mainly focus on how to use Hom-partial actions to construct a new monoidal Hom–Hopf algebra. For this, we first introduce the notions of partial Hom–Smash products and partial Hom–Smash coproducts. Then, partial matched Hom-pairs are established to construct monoidal Hom–Hopf algebras, as application, some concrete examples are elaborated.
期刊介绍：
The Bulletin of the Iranian Mathematical Society (BIMS) publishes original research papers as well as survey articles on a variety of hot topics from distinguished mathematicians. Research papers presented comprise of innovative contributions while expository survey articles feature important results that appeal to a broad audience. Articles are expected to address active research topics and are required to cite existing (including recent) relevant literature appropriately. Papers are critically reviewed on the basis of quality in its exposition, brevity, potential applications, motivation, value and originality of the results. The BIMS takes a high standard policy against any type plagiarism. The editorial board is devoted to solicit expert referees for a fast and unbiased review process.
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