Geodesic
Inner Homomorphisms and Positive-Conditional Terms
Algebra i logika, Tome 40 (2001) no. 2, pp. 158-173

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We establish the criterion for two finite or uniformly locally finite algebras of a finite signature to be positive-conditionally rational equivalent (in terms of semigroups of inner homomorphisms of these algebras) and the criterion for two finite algebras to be strongly similar (in terms of expanded semigroups of inner homomorphisms of those algebras).
Keywords: finite algebra, uniformly locally finite algebra, positive-conditionally rational equivalent algebras, strongly similar algebras. 
@article{AL_2001_40_2_a2,
     author = {A. G. Pinus},
     title = {Inner {Homomorphisms} and {Positive-Conditional} {Terms}},
     journal = {Algebra i logika},
     pages = {158--173},
     publisher = {mathdoc},
     volume = {40},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2001_40_2_a2/}
}
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A. G. Pinus. Inner Homomorphisms and Positive-Conditional Terms. Algebra i logika, Tome 40 (2001) no. 2, pp. 158-173. http://geodesic.mathdoc.fr/item/AL_2001_40_2_a2/