On context-equivalence of algebras

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.

Technical Translation in Nuclear Energy: New Terms, Context, Equivalence

The paper briefly outlines the theoretical concepts underlying scientific and technical translation such as equivalence and context. It emphasizes the importance of contextual knowledge essential for the translation of new terms that emerge in modern academic and technological society. The significance of extensive and comprehensive contextual knowledge is demonstrated by the example of two new concepts brought to light following the Fukushima Daiichi accident. The concepts and challenges associated with their translation are addressed in detail.