Semisimplicity and separability for pseudocompact algebras

DOI10.1142/S0219498825500781MaRDI QIDQ6669417

John MacQuarrie, Kostyantyn Yusenko

Publication date: 22 January 2025

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

zbMATH Keywords

inverse limitsemisimple algebraseparable algebrapseudocompact algebra

Mathematics Subject Classification ID

Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Topological and ordered rings and modules (16W80)

Cites Work

• Brauer theory for profinite groups.
• Infinite-dimensional diagonalization and semisimplicity
• Modular representations of profinite groups.
• Permutation complexes for profinite groups.
• Green correspondence for virtually pro-\(p\) groups.
• Block theory and Brauer's first main theorem for profinite groups
• Infinitely generated pseudocompact modules for finite groups and Weiss' theorem
• The path algebra as a left adjoint functor
• Pseudocompact algebras, profinite groups and class formations
• The Malcev theorem
• The structure of non-semisimple algebras
• Coalgebras, comodules, pseudocompact algebras and tame comodule type.
• Double Coset Formulas for Profinite Groups
• I-Rings
• Separable Algebras
• Des catégories abéliennes
• Linearly Compact Modules and Rings
• Profinite Groups
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