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On the axiomatic ranks of some quasivarieties

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References

  1. V. I. Tumanov, Sufficient Conditions for Embeddability of a Free Lattice in Lattices of Quasivarieties [Preprint, No. 40] [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk (1988).

    Google Scholar 

  2. A. I. Mal'tsev, Algebraic Systems [in Russian], Nauka, Moscow (1970).

    MATH  Google Scholar 

  3. H. Neumann, Varieties of Groups [Russian translation], Mir, Moscow (1969).

    Google Scholar 

  4. A. Yu. Ol'shanskiî, “Conditional identities in finite groups,” Sibirsk. Mat. Zh.,15, No. 6, 1409–1413 (1974).

    Google Scholar 

  5. A. K. Rumyantsev, “On quasi-identities of finite groups,” Algebra i Logika,19, No. 4, 458–479 (1980).

    Google Scholar 

  6. A. I. Budkin, “Axiomatic rank of a quasivariety with a free solvable group,” Mat. Sb.,112, No. 4, 647–655 (1980).

    Google Scholar 

  7. A. I. Budkin, “Quasi-identities of nilpotent groups and groups with one defining relation,” Algebra i Logika,18, No. 2, 127–136 (1979).

    MATH  Google Scholar 

  8. A. I. Budkin, “On quasi-identities in a free group,” Algebra i Logika,15, No. 1, 39–52 (1976).

    Google Scholar 

  9. A. I. Budkin, “OnQ-theories of 2-generated groups with given axiomatic rank,” Algebra i Logika,28, No. 5, 513–523 (1989).

    Google Scholar 

  10. E. S. Polovnikova, “Quasi-identities of torsion-free 2-generated groups,” Sibirsk. Mat. Zh.,36, No. 6, 1354–1363 (1995).

    Google Scholar 

  11. A. N. Fëdorov, “Quasi-identities of a free 2-nilpotent group,” Mat. Zametki,40, No. 5, 590–597 (1986).

    MATH  Google Scholar 

  12. A. I. Budkin and V. A. Gorbunov, “On the theory of quasivarieties of algebraic systems,” Algebra i Logika,14, No. 2, 123–142 (1975).

    MATH  Google Scholar 

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Barnaul. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 40, No. 1, pp. 167–176, January–February, 1999.

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Polovnikova, E.S. On the axiomatic ranks of some quasivarieties. Sib Math J 40, 143–152 (1999). https://doi.org/10.1007/BF02674301

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  • DOI: https://doi.org/10.1007/BF02674301

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