Self-similar associative algebras.

DOI10.1016/j.jalgebra.2013.04.029zbMath1293.16020OpenAlexW2084370743MaRDI QIDQ2437944

Victor M. Petrogradsky, Ivan Pavlovic Shestakov

Publication date: 10 March 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.04.029

zbMATH Keywords

Lie algebras of differential operatorsgraded algebrasFibonacci numbersrestricted Lie algebrasgrowth of algebrasnil-algebrasself-similar algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Growth rate, Gelfand-Kirillov dimension (16P90) Lie algebras of vector fields and related (super) algebras (17B66) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70) Rings of differential operators (associative algebraic aspects) (16S32) Modular Lie (super)algebras (17B50)

Related Items (7)

Fractal nil graded Lie superalgebras ⋮ Clover nil restricted Lie algebras of quasi-linear growth ⋮ Fractal just infinite nil Lie superalgebra of finite width ⋮ Nil restricted Lie algebras of oscillating intermediate growth ⋮ Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras ⋮ On Jordan doubles of slow growth of Lie superalgebras ⋮ Nil Liep-algebras of slow growth

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