过于光泽
发表于 2025-3-25 03:52:16
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捕鲸鱼叉
发表于 2025-3-25 08:45:27
Claudia J. Coulton,Robert L. Fischer is a field. For such an algebra ./rad . is a finite-dimensional semisimple .-algebra, whose structure is completely determined by Wedder-burn’s Theorem. Thus, the study of simple (and semisimple) left .-modules is well under control.
aviator
发表于 2025-3-25 12:02:20
https://doi.org/10.1007/978-1-4613-8707-7lements by ideals of the ring. The Zorn’s Lemma construction of prime ideals disjoint from a multiplicative set in the commutative setting finds a natural generalization, if we just replace the multiplicative set with an “.-system”: cf. .-(10.5). (A nonempty set . ⊆ . is called an .-system if, for a
Uncultured
发表于 2025-3-25 18:42:39
Alternatives to the Juvenile Court Processthe finite-dimensional division algebras over the reals. Nowadays, we know that the theorem also works for algebraic algebras. Shortly after E. H. Moore completed his classification of finite fields, J. H. M. Wedderburn delighted the world with his “Little” Theorem (c. 1905), that all finite divisio
enlist
发表于 2025-3-25 21:37:53
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llibretto
发表于 2025-3-26 02:55:28
Huy Q. Nguyen,Walter A. Strausshe advent of homological algebra, a number of papers were written about the homological properties of semiprimary rings. In his seminal 1960 paper, H. Bass studied the classes of perfect and semiperfect rings as homological generalizations of semiprimary rings, and obtained striking characterization
acheon
发表于 2025-3-26 05:31:14
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治愈
发表于 2025-3-26 10:12:20
Wu Zhiyan,Janet Borgerson,Jonathan SchroederFrom our first course in abstract algebra, we learned that ℝ, the set of all integers, is not only a ring, but an . ring, in that we have the ordering relation . between its elements. For arbitrary rings, it is also of significance to study their orderings if they exist.
细菌等
发表于 2025-3-26 14:50:26
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saphenous-vein
发表于 2025-3-26 19:50:50
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