Orbits of free cyclic submodules over rings of lower triangular matrices

DOI10.1007/s00025-021-01420-7zbMath1491.15033arXiv2002.04325OpenAlexW3159117595MaRDI QIDQ2038863

Edyta Bartnicka

Publication date: 7 July 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.04325

zbMATH Keywords

Bell numberlower triangular matricesfree cyclic submodulesassociative rings with unityorbits of submodules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Cites Work

• Unnamed Item
• Free cyclic submodules in the context of the projective line
• The distant graph of the projective line over a finite ring with unity
• Twin ``Fano-snowflakes over the smallest ring of ternions
• Vectors, cyclic submodules, and projective spaces linked with ternions
• Divisible designs, Laguerre geometry, and beyond
• Affine and projective planes linked with projective lines over certain rings of lower triangular matrices
• Projective representations. I: Projective lines over rings

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