Derivations on the algebras of the one-point compactification of affine semigroups

DOI10.1080/00927872.2022.2027430zbMath1487.13049arXiv2105.02990OpenAlexW4210733549MaRDI QIDQ5080199

Roberto C. Díaz

Publication date: 31 May 2022

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

Full work available at URL: https://arxiv.org/abs/2105.02990

zbMATH Keywords

topological semigrouplocally nilpotent derivationaffine semigrouptopologically integrable derivation

Mathematics Subject Classification ID

Derivations and commutative rings (13N15) Structure of topological semigroups (22A15) Semigroup rings, multiplicative semigroups of rings (20M25) Complete rings, completion (13J10)

Cites Work

• Affine \(\mathbb{T}\)-varieties of complexity one and locally nilpotent derivations
• Pro-affine algebras, ind-affine groups and the Jacobian problem. Appendix: Linear compactness for rings and modules
• Some basic results on pro-affine algebras and ind-affine schemes
• On toric ind-varieties and pro-affine semigroups
• Derivations and integral closure
• Derivations of commutative noetherian rings
• Theorems on Compact Totally Disconnected Semigroups and Lattices
• Algebraic theory of locally nilpotent derivations
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