Identities and Quasi-Identities of Pointed Algebras
Basheyeva A.O. Mustafa M. Nurakunov A.M.
March 2022Pleiades journals
Siberian Mathematical Journal
2022#63Issue 2197 - 205 pp.
Each pointed enrichment of an algebra can be regarded asthe same algebra with an additional finite set of constant operations.An algebra is pointed whenever it is a pointed enrichment of some algebra.We show that each pointed enrichment of a finite algebrain a finitely axiomatizable residually very finite variety admits a finite basis of identities.We also prove thatevery pointed enrichment of a finite algebrain a directly representable quasivarietyadmits a finite basis of quasi-identities.We give some applications of these results and examples.
512.57 , finite axiomatizability , identity , pointed algebra , quasi-identity , quasivariety , variety
Text of the article Перейти на текст статьи
Gumilev Eurasian National University, Nur-Sultan, Kazakhstan
School of Sciences and Humanities, Department of Mathematics, Nazarbayev University, Nur-Sultan, Kazakhstan
Institute of Mathematics of the National Academy of Sciences of the Kyrgyz Republic, Bishkek, Kyrgyzstan
Gumilev Eurasian National University
School of Sciences and Humanities
Institute of Mathematics of the National Academy of Sciences of the Kyrgyz Republic
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026