I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2007, VOLUME 13, NUMBER 1, PAGES 135-159
E. A. Kireeva
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a field of prime characteristic and let be the
variety of associative algebras over without unity defined by
the identities and if
and by the
identities and if
Let be the free
algebra of countable rank of the variety and let
T-space in generated
, where and if .
As is known, is not finitely
generated as a T-space.
In the present paper, we prove that is a limit T-space,
i.e., a maximal nonfinitely generated T-space.
As a corollary, we have constructed a limit T-space in the
free associative -algebra without unity of
Last modified: December 21, 2006