125765 20240731103325.0 doi 10.24330/ieja.1281705 sideral 133308 ART-2023-133308 eng Grau, José María Minimal rings related to generalized quaternion rings 2023 Access copy available to the general public Unrestricted The family of rings of the form Z4 〈x, y〉〈x2 − a, y2 − b, yx − xy − 2(c + dx + ey + f xy)〉 is investigated which contains the generalized Hamilton quaternions over Z4. These rings are local rings of order 256. This family has 256 rings contained in 88 distinct isomorphism classes. Of the 88 non-isomorphic rings, 10 are minimal reversible nonsymmetric rings and 21 are minimal abelian reflexive nonsemicommutative rings. Few such examples have been identified in the literature thus far. The computational methods used to identify the isomorphism classes are also highlighted. Finally, some generalized Hamilton quaternion rings over Zps are characterized. info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.318 2023 Algebra and Number Theory 2023 Q3 0.9 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Oller-Marcén, Antonio M. Universidad de Zaragoza (orcid)0000-0002-8191-3199 Szabo, Steve 2006 200 Universidad de Zaragoza Dpto. Matemáticas Área Didáctica Matemática 34 (2023), [24 pp.] International Electronic Journal of Algebra 1306-6048 329578 http://zaguan.unizar.es/record/125765/files/texto_completo.pdf Versión publicada 1272668 http://zaguan.unizar.es/record/125765/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:125765 articulos driver 2024-07-31-09:44:29 ARTICLE