Free products of units in algebras. I: Quaternion algebras
DOI10.1006/jabr.1998.7680zbMath0934.16026OpenAlexW2030743146MaRDI QIDQ1283277
Arnaldo Mandel, Mazi Shirvani, Jairo Z. Goncalves
Publication date: 27 January 2000
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1998.7680
skew polynomial ringsfree productsquaternion algebrasgroups of unitsfree groupsfree pairs of elementsMalcev-Neumann skewfieldssemifree pairs
Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Subgroup theorems; subgroup growth (20E07) Ordinary and skew polynomial rings and semigroup rings (16S36) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Finite-dimensional division rings (16K20) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Units, groups of units (associative rings and algebras) (16U60)
Related Items (18)
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