{"title":"晶格相等代数中的相对共析系数","authors":"S. Niazian, M. Aaly Kologani, R. Borzooei","doi":"10.21136/mb.2024.0120-23","DOIUrl":null,"url":null,"abstract":". We introduce the notion of relative co-annihilator in lattice equality algebras and investigate some important properties of it. Then, we obtain some interesting relations among ∨ -irreducible filters, positive implicative filters, prime filters and relative co-annihilators. Given a lattice equality algebra E and F a filter of E , we define the set of all F - involutive filters of E and show that by defining some operations on it, it makes a BL-algebra.","PeriodicalId":45392,"journal":{"name":"Mathematica Bohemica","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Relative co-annihilators in lattice equality algebras\",\"authors\":\"S. Niazian, M. Aaly Kologani, R. Borzooei\",\"doi\":\"10.21136/mb.2024.0120-23\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We introduce the notion of relative co-annihilator in lattice equality algebras and investigate some important properties of it. Then, we obtain some interesting relations among ∨ -irreducible filters, positive implicative filters, prime filters and relative co-annihilators. Given a lattice equality algebra E and F a filter of E , we define the set of all F - involutive filters of E and show that by defining some operations on it, it makes a BL-algebra.\",\"PeriodicalId\":45392,\"journal\":{\"name\":\"Mathematica Bohemica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2024-04-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Bohemica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21136/mb.2024.0120-23\",\"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":"Mathematica Bohemica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21136/mb.2024.0120-23","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
.我们引入了网格等价代数中的相对共湮器概念,并研究了它的一些重要性质。然后,我们得到了 ∨ - 不可还原符、正蕴涵符、素符和相对同消元之间的一些有趣关系。给定一个网格相等代数 E 和 E 的一个符,我们定义了 E 的所有 F - 非内含符的集合,并证明通过对它定义一些运算,它构成了一个 BL 代数。
Relative co-annihilators in lattice equality algebras
. We introduce the notion of relative co-annihilator in lattice equality algebras and investigate some important properties of it. Then, we obtain some interesting relations among ∨ -irreducible filters, positive implicative filters, prime filters and relative co-annihilators. Given a lattice equality algebra E and F a filter of E , we define the set of all F - involutive filters of E and show that by defining some operations on it, it makes a BL-algebra.