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A growth criterion for graphs and algebras defined by words

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Publication:786835
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DOI10.1007/BF01145476zbMath0528.05060MaRDI QIDQ786835

Victor Ufnarovski

Publication date: 1982

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

growth of graphsPoincare series


Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Paths and cycles (05C38) Graph theory (05C99)


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Graded algebras, algebraic functions, planar trees, and elliptic integrals ⋮ The Hilbert series of prime PI rings. ⋮ Category equivalences involving graded modules over weighted path algebras and weighted monomial algebras ⋮ An equivalence of categories for graded modules over monomial algebras and path algebras of quivers. ⋮ Combinatorial decompositions for monomial ideals ⋮ An elimination lemma for algebras with PBW bases ⋮ Corrigendum to ``An equivalence of categories for graded modules over monomial algebras and path algebras of quivers. ⋮ Multigraded Hilbert series of noncommutative modules ⋮ The Noetherian property in some quadratic algebras ⋮ On the growth of linear languages



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