Unary Algebras without Proper Subalgebras
А. Н. Лата
Abstract
А. Н. Лата
Abstract
Abstract The paper describes equivalent conditions under which an arbitrary unary algebra has no proper subalgebras. An algorithm for checking the absence of subalgebras or for finding proper subalgebras and their generators in a given unary algebra whose carrier and signature are finite is proposed.
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Abstract The paper describes equivalent conditions under which an arbitrary unary algebra has no proper subalgebras. An algorithm for checking the absence of subalgebras or for finding proper subalgebras and their generators in a given unary algebra whose carrier and signature are finite is proposed.
Key concepts: Unary operation, Mathematics, Signature (topology), Algebra over a field, Pure mathematics, Discrete mathematics, Geometry