Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Phone: +373 (22) 73 80 29
E-mail:
Keywords: quasigroup, automorphism, congruence, code.
UDC: 512.548, 512.53
MSC: 20N05, 05B15, 20N02, 08C15, 20N15

Subject:

Quasigroup theory.

Main publications:

1. Shcherbacov V.A., “On linear quasigroups and their automorphism groups”, Binary and n-ary quasigroups. Mat. Issled., 120 (1991), 104-114
2. J.D. Phillips, D.I. Pushkashu, A.V. Shcherbacov, V.A. Shcherbacov, “On Birkhoff's quasigroup axioms”, J. of Algebra, 457 (2016), 7-17
3. A.D. Keedwell, V.A. Shcherbacov, “Construction and properties of (r,s,t)-inverse quasigroups. I”, Discrete Math., 266:1-3 (2003), 275-291
4. Gary L. Mullen, Victor Shcherbacov, “$n$-T-quasigroup codes with one check symbol and their error detection capabilities”, Comment. Math. Univ. Carolinae, 45:2 (2004), 321 - 340
5. Victor Shcherbacov, Elements of Quasigroup Theory and Applications, CRC Press, 2017

Publications in Math-Net.Ru

Personal pages:

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Organisations:

• Institute of Mathematics and Computer Science, Academy of Sciences of Moldova