Generalized affine transformation monoid of a free module of finite rank over finite chain rings.

DOI10.1007/s00233-011-9296-8zbMath1243.20073OpenAlexW2162025877MaRDI QIDQ766191

Yong-Lin Cao

Publication date: 23 March 2012

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-011-9296-8

zbMATH Keywords

affine transformationsSchützenberger groupsfinite chain ringstransformation monoidsprincipal factorsfree modules of finite rank

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Algebraic systems of matrices (15A30) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Locally maximal idempotent-generated subsemigroups of singular orientation-preserving transformation semigroups.
• \(q\)-ary bent functions constructed from chain rings
• The monoid of orientation-preserving mappings on a chain
• On the groups of units of finite commutative chain rings.
• Generalized affine transformation monoid of a residue class ring.
• Regularity and Green's relations for semigroups of transformations preserving orientation and an equivalence.
• On the multiplicative monoid of \(n\times n\) matrices over \(\mathbb{Z}_{p^m}\).
• \(D_n\)-normal semigroups of transformations.
• On the Multiplicative Monoid ofn×nMatrices Over Artinian Chain Rings
• Cyclic and Negacyclic Codes Over Finite Chain Rings
• Constructions of semi-regular relative difference sets