Year: 2026
Type: article
Abstract: We study \(g\)-dimonoids, which are algebraic structures equipped with two associative binary operations satisfying a prescribed system of axioms. We develop a construction of \(g\)-dimonoids based on inflations of semigroups, construct several new classes of \(2\)-dinilpotent commutative \(g\)-dimonoids, and investigate the isomorphism problem for these classes. As an application of these results, we obtain a structural description of all commutative \(g\)-dimonoids of order \(3\), up to isomorphism.
Source: Algebra and Discrete Mathematics
DOI: 10.12958/adm2506
Institution: Vasyl Stefanyk Carpathian National University
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7214897904