Algebras with only finitely many subalgebras

DOI10.1142/S0219498815500863zbMath1325.16019arXiv1401.1607OpenAlexW2164199406MaRDI QIDQ5251109

Michiel Kosters

Publication date: 22 May 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1607

zbMATH Keywords

maximal subringsFIPalgebras with finitely many subalgebrasfutile algebrasrings with finitely many subrings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Generalizations of commutativity (associative rings and algebras) (16U80) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Integral dependence in commutative rings; going up, going down (13B21) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Other special types of modules and ideals in commutative rings (13C13) Rings of fractions and localization for commutative rings (13B30)

Related Items (1)

Étale extensions with finitely many subextensions

Cites Work

• Unnamed Item
• Characterizing the ring extensions that satisfy FIP or FCP
• On the FIP Property for Extensions of Commutative Rings

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