The Specht Property of L-Varieties of Vector Spaces Over an Arbitrary Field

1. Yu. P. Razmyslov, “Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero,” Algebra and Logic, 12, No. 1, 47-63 (1973).

   Article  MathSciNet  Google Scholar 

2. G. V. Dorofeev, “Properties of the join of varieties of algebras,” Algebra and Logic, 16, No. 1, 17-27 (1977).

   Article  MathSciNet  Google Scholar 

3. A. V. Kislitsin, “The Specht property of L-varieties of vector spaces,” Algebra and Logic, 56, No. 5, 362-369 (2017).

   Article  MathSciNet  Google Scholar 

4. A. V. Kislitsin, “The Specht property of L-varieties of vector spaces,” Mal’tsev Readings (2016), p. 147.

5. I. M. Isaev and A. V. Kislitsin, “Identities in vector spaces embedded in linear algebras,” Sib. El. Mat. Izv., 12, 328-343 (2015).

   MathSciNet  MATH  Google Scholar 

6. I. M. Isaev and A. V. Kislitsin, “Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities,” Algebra and Logic, 52, No. 4, 290-307 (2013).

   Article  MathSciNet  Google Scholar 

7. A. V. Kislitsin, “On identities of spaces of linear transformations over infinite field,” Izv. Altai State Univ., 65, Nos. 1/2, 37-41 (2010).

   Google Scholar 

8. O. B. Finogenova, “Varieties of associative algebras satisfying Engel identities,” Algebra and Logic, 43, No. 4, 271-284 (2004).

   Article  MathSciNet  Google Scholar 

9. O. B. Finogenova, “Almost Lie nilpotent non-prime varieties of associative algebras,” Tr. Inst. Mat. Mech. UrO RAN, 21, No. 4, 282-291 (2015).

   MathSciNet  Google Scholar 

10. Yu. N. Mal’tsev, “Almost commutative varieties of associative rings,” Sib. Math. J., 17, No. 5, 803-811 (1976).

    Article  MathSciNet  Google Scholar 

11. W. Specht, “Gesetze in Ringen. I,” Math. Z., 52, 557-589 (1950).

    Article  MathSciNet  Google Scholar 

12. A. N. Krasil’nikov, “Finiteness of a basis of identities for some varieties of associative rings,” in Algebraic Systems [in Russian], Ivanovo (1991), pp. 18-26.

Download references