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Critical theories of supervarieties of the variety of commutative associative rings

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References

  1. Yu. M. Vazhenin, “Algorithmic problems and hierarchies of first-order languages,” Algebra i Logika,26, No. 4, 419–434 (1987).

    Google Scholar 

  2. Yu. M. Vazhenin, “Nonassociative rings with a single defining relation whose elementary theories are decidable,” Algebra i Logika,29, No. 5, 509–522 (1990).

    Google Scholar 

  3. Yu. M. Vazhenin, “Critical theories for certain classes of nonassociative rings,” Algebra i Logika,28, No. 4, 393–401 (1989).

    Google Scholar 

  4. Dnestrovskaya Notebook: Unsolved Problems in Theory of Rings and Modules [in Russian], Inst. Mat. (Novosibirsk), Novosibirsk (1982).

  5. Yu. M. Vazhenin, “Critical theories,” Sibirsk. Mat. Zh.,29, No. 1, 23–31 (1988).

    Google Scholar 

  6. A. I. Mal'tsev, Algorithms and Recursive Functions [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  7. Yu. Sh. Gurevich, “The word problem for certain classes of semigroups,” Algebra i Logika,5, No. 5, 25–36 (1966).

    Google Scholar 

  8. K. A. Zhevlakov, A. M. Slin'ko, I. P. Shestakov, and A. I. Shirshov, Rings That Are Nearly Associative [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  9. U. U. Umirbaev, “The word problem for Jordan and right-alternative algebras,” in: Some Questions and Problems of Analysis and Algebra [in Russian], Novosibirsk. Univ., Novosibirsk, 1985, pp. 120–127.

    Google Scholar 

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Authors and Affiliations

  1. Ekaterinburg

    V. Yu. Popov

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  1. V. Yu. Popov
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Translated fromSibirskii Matematicheskii Zhurnal, Vol. 36, No. 6, pp. 1364–1374, November–December, 1995.

The author is grateful to Yu. M. Vazhenin for supervision.

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Popov, V.Y. Critical theories of supervarieties of the variety of commutative associative rings. Sib Math J 36, 1184–1193 (1995). https://doi.org/10.1007/BF02106842

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  • DOI: https://doi.org/10.1007/BF02106842

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