On the diagrams of classes of conditionally termal functions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1099-1109.

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We give some conditions under which the classes of conditionally termal, elementary conditionally termal, positive conditionally termal and existential positive conditionally termal functions coincide.
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A. G. Pinus. On the diagrams of classes of conditionally termal functions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1099-1109. http://geodesic.mathdoc.fr/item/FPM_2002_8_4_a11/

[1] Pinus A. G., “On the conditional terms and conditional identities on the universal algebras”, Siberian Advances in Math., 8:2 (1998), 96–109 | MR | Zbl

[2] Pinus A. G., “Vnutrennie gomomorfizmy i pozitivno uslovnye termy” (to appear)

[3] Pinus A. G., “$N$-uslovnye termy i $n$-uslovno ratsionalnaya ekvivalentnost”, Izv. vyssh. uchebn. zaved. Matematika, 1999, no. 1, 36–40 | MR | Zbl

[4] Pinus A. G., “O funktsiyakh, kommutiruyuschikh s polugruppami preobrazovanii algebr”, Sib. mat. zhurn., 41:6 (2000), 1409–1418 | MR | Zbl

[5] Pinus A. G., “Conditional terms and their applications”, Algebra. Proceedings of Kurosh conference, Publ. Walter de Gruyter, Berlin, New York, 2000, 291–300 | MR

[6] Pinus A. G., “Kharakterizatsiya uslovno termalnykh funktsii”, Sib. mat. zhurn., 38:1 (1997), 161–165 | MR | Zbl

[7] Pixley A. F., “The ternary discriminator function in universal algebra”, Math. Ann., 191 \:3 (1971), 167–180 | DOI | MR | Zbl

[8] Davey B. A., Pitkethly J. G., “Endoprimal algebras”, Alg. univ., 38:3 (1997), 266–288 | DOI | MR | Zbl

[9] Pinus A. G., “O ratsionalno i uslovno ratsionalno ekvivalentnykh algebrakh” (to appear)