Ring detail

Name: Non-symmetric $2$-primal ring

Description: Consider the semigroup $S=\{a,b\}$ with $a^2=ab=a$,$b^2=ba=b$. Make the semigroup ring $T=F_2[S]$. Make the Dorroh extension $T'=D(\mathbb Z,T)$. $T'$ is the ring.

Keywords Dorroh extension


  • G. Marks. Reversible and symmetric rings. (2002) @ Example 2, p 313

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  • = does not have the property
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Name Measure
cardinality $\aleph_0$
composition length left: $\infty$right: $\infty$

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