Abstract
AbstractWe show that the system of axioms of a dimonoid is independent and prove that every dimonoid with a commutative operation is a semilattice of archimedean subdimonoids, every dimonoid with a commutative periodic semigroup is a semilattice of unipotent subdimonoids, every dimonoid with a commutative operation is a semilattice of
Reference15 articles.
1. Dialgebras In : Dialgebras and related operads Springer - Verlag;Loday;Lect Notes Math,2001
2. Free dimonoids no in Ukra - inian;Zhuchok;Ukr Math J,2011
3. Dimonoids with a commutative periodic semigroup Mal tsev Meeting dedicated to the th anniversary of Acad Collection of Abstracts;Zhuchok;Intern Conf,2010
4. Gröbner Shirshov bases for dialgebras no;Bokut;Int J Algebra Comput,2010
5. Varieties of dialgebras and conformal algebras in;Kolesnikov;Math J,2008