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### Matrix lie rings that contain an abelian subring

JPRM-Vol. 1 (2008), Issue 1, pp. 113 – 117 Open Access Full-Text PDF
Evgenii L. Bashkirov
Abstract: Let $$k$$ be a field and $$\overline{k}$$ an algebraic closure of $$k$$. The paper is devoted to the description of subrings of the Lie ring $$sl_{2}overline{k}$$ that contain an abelian subring which is a one-dimensional subspace of the $$k$$-vector space $$sl_{2}overline{k}$$.
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### Limit sets of weakly contracting relations with eventual condensation

JPRM-Vol. 1 (2008), Issue 1, pp. 101 – 112 Open Access Full-Text PDF
Vasile Glavan, Valeriu Gutu
Abstract: Barnsley’s formula for the attractor of a hyperbolic IFS with condensation is generalized for the omega-limit set of a weakly contracting set-valued map with eventual condensation. The latter need not be a contraction, as well as its omega-limit set need not be an attractor.
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