TY - JOUR AB - We show that linear bijections between quaternion algebras over a commutative ring preserving norms and identity elements are basically the same as isomorphisms or antiisomorphisms. We also show that one-sided ideals of octonion algebras over a commutative ring are extended from the base. AU - Petersson, Holger P. DA - 2021 DO - 10.17879/06089651315 LA - eng IS - Münster Journal of Mathematics M2 - 283 PY - 2021 SP - 283-293 T2 - Münster Journal of Mathematics TI - Norm equivalences and ideals of composition algebras UR - https://nbn-resolving.org/urn:nbn:de:hbz:6-06089653277 Y2 - 2024-11-25T09:59:31 ER -