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Abstract Algebra978-0-387-71568-1Series ISSN 0072-5285 Series E-ISSN 2197-5612isotope 发表于 2025-3-24 11:31:36
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https://doi.org/10.1007/978-3-319-71422-6a field, albeit limited to fields of algebraic numbers. Steinitz wrote the first systematic abstract treatment. Today’s approach is basically due to Artin, on whose lectures van der Waerden’s . is partly based.Pcos971 发表于 2025-3-24 22:54:21
Kathleen M. Higgins,Shakti Maira,Sonia Sikkas, and grew very quickly with the development of algebraic geometry, which consumes vast amounts of it. This chapter contains general properties of ring extensions, Noetherian rings, and prime ideals; takes a look at algebraic integers; and ends with a very minimal introduction to algebraic geometry.畸形 发表于 2025-3-24 23:42:10
https://doi.org/10.1007/978-3-319-43893-1d a ring semisimple when it has no nonzero nilpotent ideal and considered in the particular case of finite-dimensional ring extensions of C. Artin showed that Wedderburn’s result depends only on the descending chain condition; this gave birth to noncommutative ring theory.