Unital locally matrix algebras and Steinitz numbers

DOI10.1142/S0219498820501807zbMath1492.16025arXiv1907.11506OpenAlexW2970328472WikidataQ114614571 ScholiaQ114614571MaRDI QIDQ5132363

Bogdana Oliynyk, Oksana Bezushchak

Publication date: 10 November 2020

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

Full work available at URL: https://arxiv.org/abs/1907.11506

zbMATH Keywords

Clifford algebradiagonal embeddingSteinitz numberlocally matrix algebra

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Algebraic systems of matrices (15A30) Quadratic spaces; Clifford algebras (11E88)

Related Items

Ideals of general linear Lie algebras of infinite-dimensional vector spaces, Isomorphisms of groups of periodic infinite matrices, Locally standard measure algebras, Hamming spaces and locally matrix algebras, Spectra of locally matrix algebras, Morita equivalent unital locally matrix algebras, Primary decompositions of unital locally matrix algebras

Cites Work

• Classification of the direct limits of involution simple associative algebras and the corresponding dimension groups.
• On a Certain Class of Operator Algebras
• Diagonal direct limits of simple lie algebras
• Gröbner–Shirshov bases and their calculation
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