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Results tagged with ra.rings-and-algebras
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user 41343
Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
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Are there nondiagonal ring homomorphisms $f:R\rightarrow M_n(R)$ for an integral domain R?
Let $R$ be an integral domain and $M_n(R)$ the ring of $n\times n$ matrices over $R$.
Question 1: Is there a ring homomorphism $f:R\rightarrow M_n(R)$ such that $f(r)$ is a nondiagonal matrix for som …
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