Iterative algebras.

DOI10.1007/s10468-015-9550-yzbMath1348.16019arXiv1503.01632OpenAlexW3037851082MaRDI QIDQ5962977

Jason P. Bell, Blake W. Madill

Publication date: 25 February 2016

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.01632

zbMATH Keywords

Lie algebrasfree associative algebrasdecidabilityGelfand-Kirillov dimensionmonoidsmonomial algebrascombinatorics on wordsfinitely generated algebrasgraded nilpotent algebrasgraded-nil algebrasiterative algebrasJacobson radical algebrasmorphic words

Mathematics Subject Classification ID

Combinatorics on words (68R15) Permutations, words, matrices (05A05) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Prime and semiprime associative rings (16N60) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Growth rate, Gelfand-Kirillov dimension (16P90) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Decidability of theories and sets of sentences (03B25) Graded rings and modules (associative rings and algebras) (16W50) Applications of computability and recursion theory (03D80) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (5)

Lie complexity of words ⋮ Free subalgebras of graded algebras ⋮ Growth of monomial algebras, simple rings and free subalgebras ⋮ Avoiding conjugacy classes on the 5-letter alphabet ⋮ Prime monomial ideals of algebras of subsemigroups of free nilpotent groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Structure of prime finitely presented monomial algebras.
• Monomial algebras
• Corrigendum to ``An equivalence of categories for graded modules over monomial algebras and path algebras of quivers.
• Branch rings, thinned rings, tree enveloping rings -- erratum.
• Chains of prime ideals and primitivity of \(\mathbb Z\)-graded algebras.
• Codimensions of algebras and growth functions
• The prime spectrum of algebras of quadratic growth.
• DECIDABILITY OF UNIFORM RECURRENCE OF MORPHIC SEQUENCES
• On Primitive Ideals in Graded Rings
• On the Periodicity of Morphic Words
• On the periodicity of morphisms on free monoids
• Automatic Sequences
• Decidability of periodicity for infinite words
• Combinatorics of Words and Semigroup Algebras Which Are Sums of Locally Nilpotent Subalgebras
• Affine algebras of Gelfand-Kirillov dimension one are PI
• The Jacobson radical of rings with nilpotent homogeneous elements

This page was built for publication: Iterative algebras.