Geodesic
On semigroups of endomorphisms of universal algebras
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2020), pp. 75-87

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In the present article the left ideals of the semigroup of endomorphisms $End (G)$ of a universal algebra $G$ are studied. The lattice $Spec^s(G)$ of saturated left ideals and the lattice $Spec^f(G)$ of full ideals of the semigroup of endomorphisms $End (G)$ of a universal algebra $G$ are introduced and characterized (Theorem 2, Corollaries 7 and 8). In a free universal algebra any left ideal is a full left ideal. Theorem 1 describes the cyclic universal algebras. Theorem 3 affirms that any semigroup with unity is isomorphic to a semigroup of endomorphisms $End (G)$ of some cyclic free universal algebra $G$. 
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     title = {On semigroups of endomorphisms of universal algebras},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
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Mitrofan M. Choban; Ion I. Valuţă. On semigroups of endomorphisms of universal algebras. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2020), pp. 75-87. http://geodesic.mathdoc.fr/item/BASM_2020_3_a4/