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• W2277183871 abstract "We survey results on factorizations of non-zero-divisors into atoms (irreducible elements)Element irreducible element in noncommutative rings. The point of view in this survey is motivated by the commutative theory of nonunique factorizations. Topics covered include unique factorization up to order and similarity, 2-firs, and modular LCM domains, as well as UFRs and UFDs in the sense of Chatters and Jordan and generalizations thereof. We recall arithmetical invariants for the study of nonunique factorizations, and give transfer results for arithmetical invariants in matrix rings, rings of triangular matrices, and classical maximal orders as well as classical hereditary orders in central simple algebras over global fieldsField global field ." @default.
• W2277183871 created "2016-06-24" @default.
• W2277183871 creator A5069431545 @default.
• W2277183871 date "2016-01-01" @default.
• W2277183871 modified "2023-09-23" @default.
• W2277183871 title "Factorizations of Elements in Noncommutative Rings: A Survey" @default.
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• W2277183871 doi "https://doi.org/10.1007/978-3-319-38855-7_15" @default.
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