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- W2588404636 abstract "The notion of context-equivalent algebras introduced by Müller generalizes Morita-equivalence. It is a coarser equivalence in the class of algebras but it still preserves many ring-theoretic properties. It also gives a new equivalence in the class of commutative algebras. We present a version of this equivalence which includes nonunital algebras. In particular, it allows one to relate properties of an algebra and its ideals. We give a criterion for context-equivalent algebras in terms of finite-rank and adjointable operators. Further, we find a better criterion for equivalence for commutative algebras in terms of ideals." @default.
- W2588404636 created "2017-02-24" @default.
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- W2588404636 date "2018-01-23" @default.
- W2588404636 modified "2023-09-27" @default.
- W2588404636 title "On context-equivalence of algebras" @default.
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- W2588404636 doi "https://doi.org/10.1142/s0219498818500305" @default.
- W2588404636 hasPublicationYear "2018" @default.
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