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- W4365146306 abstract "The family of rings of the form frac{mathbb{Z}_{4}left langle x,y right rangle}{left langle x^2-a,y^2-b,yx-xy-2(c+dx+ey+fxy) right rangle} is investigated which contains the generalized Hamilton quaternions over $Z_4$. 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 $Z_{p^s}$ are characterized." @default.
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- W4365146306 date "2023-07-10" @default.
- W4365146306 modified "2023-09-30" @default.
- W4365146306 title "Minimal rings related to generalized quaternion rings" @default.
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- W4365146306 doi "https://doi.org/10.24330/ieja.1281705" @default.
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