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Properties not retained by pointed enrichments of finite lattices
Algebra universalis ( IF 0.6 ) Pub Date : 2020-10-30 , DOI: 10.1007/s00012-020-00692-4 Ainur O. Basheyeva , Manat Mustafa , Anvar M. Nurakunov
中文翻译:
有限晶格的尖锐化无法保留的特性
更新日期:2020-11-02
Algebra universalis ( IF 0.6 ) Pub Date : 2020-10-30 , DOI: 10.1007/s00012-020-00692-4 Ainur O. Basheyeva , Manat Mustafa , Anvar M. Nurakunov
The present work considers algebras and their enrichments. It is shown by two examples of finite lattices that the properties “to have (no) a finite basis of quasi-identities” and “to generate a standard topological quasivariety” are not preserved with respect to pointed enrichments of finite algebras.
中文翻译:
有限晶格的尖锐化无法保留的特性
本工作考虑代数及其丰富性。通过有限格的两个示例可以看出,对于有限代数的有向富集,“具有(没有)拟恒等式的有限基础”和“生成标准拓扑拟性”的属性没有保留。