Quaternion algebras over commutative rings

DOI10.1007/BF01208328zbMath0852.16018MaRDI QIDQ1326040

Askar A. Tuganbaev

Publication date: 13 July 1994

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

maximal idealsquaternion algebrasleft idealsinvertible elementsdivision ringslattices of idealscommutative ringsright ideals

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Ideals in associative algebras (16D25) Finite-dimensional division rings (16K20)

Related Items

Counting non-isomorphic generalized Hamilton quaternions ⋮ Generalized quaternion rings over \(\mathbb {Z}/n\mathbb {Z}\) for an odd \(n\) ⋮ On the structure of quaternion rings over \(\mathbb{Z}/n\mathbb{Z}\) ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Cayley–Dickson process and centrally essential rings ⋮ Unnamed Item ⋮ Cayley–Dickson process and centrally essential rings ⋮ Centrally essential rings ⋮ Semidistributive modules ⋮ Distributive semigroup rings and related topics ⋮ Distributive modules and rings and their close analogs

Cites Work

• Modules Whose Lattice of Submodules is Distributive
• Unnamed Item