Geodesic
On T-spaces and related concepts and results
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 77-84.

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The paper is a brief survey of the T-space conception and related results. A connection between T-spaces and so-called varieties of pairs, analogous to the connection between T-ideals and varieties of algebras, is established. The concepts of A-equivalency and T-equivalency are introduced, after that some applications are considered. 
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A. V. Grishin. On T-spaces and related concepts and results. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 5, pp. 77-84. http://geodesic.mathdoc.fr/item/FPM_2008_14_5_a3/

[1] Aladova E. V., Grishin A. V., Kireeva E. A., “T-prostranstva. Istoriya voprosa, prilozheniya i poslednie rezultaty”, Chebyshëvskii sb., 5:4(12) (2004), 39–57 | MR | Zbl

[2] Grishin A. V., “O konechnoi baziruemosti sistem obobschënnykh mnogochlenov”, Izv. AN SSSR. Ser. mat., 54:5 (1990), 899–927 | MR | Zbl

[3] Grishin A. V., “O konechnoi baziruemosti abstraktnykh T-prostranstv”, Fundament. i prikl. mat., 1:3 (1995), 669–700 | MR | Zbl

[4] Grishin A. V., “Primery ne konechnoi baziruemosti T-prostranstv i T-idealov v kharakteristike 2”, Fundament. i prikl. mat., 5:1 (1999), 101–118 | MR | Zbl

[5] Kemer A. R., “Konechnaya baziruemost tozhdestv assotsiativnykh algebr”, Algebra i logika, 26 (1987), 597–641 | MR | Zbl

[6] Razmyslov Yu. P., “O konechnoi baziruemosti tozhdestv matrichnoi algebry vtorogo poryadka nad polem kharakteristiki nul”, Algebra i logika, 12:1 (1973), 83–113 | MR | Zbl

[7] Razmyslov Yu. P., “Ob odnoi probleme Kaplanskogo”, Izv. AN SSSR. Ser. mat., 37:3 (1973), 483–501 | MR | Zbl

[8] Schigolev V. V., “Primery beskonechno baziruemykh T-prostranstv”, Mat. sb., 191:3 (2000), 143–160 | MR | Zbl

[9] Schigolev V. V., “Konechnaya baziruemost T-prostranstv nad polyami nulevoi kharakteristiki”, Izv. RAN. Ser. mat., 65:5 (2001), 191–224 | MR | Zbl

[10] Grishin A. V., Shchigolev V. V., “On T-spaces and their applications”, J. Math. Sci., 134:1 (2006), 1799–1878 | DOI | MR | Zbl

[11] Okhitin S. V., “Central polynomials of an algebra of second-order matrices”, Moscow Univ. Math. Bull., 43:4 (1988), 49–51 | MR | Zbl