Geodesic
An Equational Spectrum Giving Cardinalities of Endomorphism Monoids1
Canadian mathematical bulletin, Tome 18 (1975) no. 3, pp. 427-429

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By determining the spectrum of a particular set of equations of type 〈2, 2, 0, 0,0〉 it is shown that a positive integer n is the cardinality of the endomorphism monoid of a universal algebra of the form if and only if n is square. 
Gould, Matthew. An Equational Spectrum Giving Cardinalities of Endomorphism Monoids1. Canadian mathematical bulletin, Tome 18 (1975) no. 3, pp. 427-429. doi: 10.4153/CMB-1975-079-9
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[1] 1. Evans, T., Products of points—some simple algebras and their identities, Amer. Math. Monthly 74 (1967), 362-372. Google Scholar

[2] 2. Gould, M., Endomorphism and automorphism structure of direct squares of universal algebras, Pacific Journal of Mathematics, to appear. Google Scholar

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