Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
E-mail: ,
Keywords: Identities, basis of identities, multiplicative vector spaces, inherently nonfinitely based vector space, inherently nonfinitely based linear algebra

Subject:

The identities of vector spaces embedded in linear algebra and questions the finite basis of identities in linear algebra

Main publications:

1. A.V. Kislitsin, “O tozhdestvakh prostranstv lineinykh preobrazovanii nad beskonechnym polem”, Izvestiya Altaiskogo gosudarstvennogo universiteta, 65:1/2 (2010), 37–41
2. I.M. Isaev, A.V. Kislitsin, “Primer prostoi konechnomernoi algebry, ne imeyuschei konechnogo bazisa tozhdestv”, Doklady Akademii nauk, 447:3 (2012), 252–253
3. I.M. Isaev, A.V. Kislitsin, “Tozhdestva vektornykh prostranstv i primery konechnomernykh lineinykh algebr, ne imeyuschikh konechnogo bazisa tozhdestv”, Algebra i logika, 52:4 (2013), 435–460
4. I.M. Isaev, A.v. Kislitsin, “Example of simple finite dimensional algebra with no finite basis of its identities”, Communications in Algebra, 41:12 (2013), 4593–4601

Publications in Math-Net.Ru

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• Omsk State University
• Altai State Pedagogical University, Barnaul