Prime monomial ideals of algebras of subsemigroups of free nilpotent groups

DOI10.1007/s11856-021-2103-7zbMath1482.16038OpenAlexW3130809033MaRDI QIDQ2022788

Tomer Bauer, Be'eri Greenfeld

Publication date: 29 April 2021

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-021-2103-7

zbMATH Keywords

growthgrowth ratesymbolic dynamicsmonomial algebrauniformly recurrent superword

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Inverse semigroups (20M18)

Cites Work

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• Prime ideals in algebras determined by submonoids of nilpotent groups
• Noetherian semigroup algebras.
• Monomial algebras
• Nilpotent semigroups and semigroup algebras
• Growth, relations and prime spectrum of monomial algebras
• Free subalgebras of graded algebras
• Gel’fand-kirillov dimensions of factor rings
• Prime Ideals in Group Rings of Polycyclic Groups
• On radicals of monomial algebras
• Examples in Finite Gel'fand–Kirillov Dimension. II
• Iterative algebras.

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