健壮 发表于 2025-3-23 12:28:17

http://reply.papertrans.cn/16/1525/152424/152424_11.png

muscle-fibers 发表于 2025-3-23 16:31:11

http://reply.papertrans.cn/16/1525/152424/152424_12.png

considerable 发表于 2025-3-23 18:23:49

The Structure of Fields,dence base, whose cardinality (called the transcendence degree) turns out to be an invariant of the extension of . by . (Section 1). The notion of separability is extended to (possibly) nonalgebraic extensions in Section 2 and separable extensions are characterized in several ways.

食道 发表于 2025-3-23 23:09:08

Linear Algebra,hism (relative to different bases) leads to the concepts of equivalence and similarity of matrices (Sections 2 and 4). Certain important invariants of matrices under similarity are considered in Section 5. Determinants of matrices (Section 3) are quite useful at several points in the discussion.

Fraudulent 发表于 2025-3-24 03:04:53

Textbook 1974s clarity rather than brevity and contains an unusually large number of illustrative exercises. The book covers major areas of modern algebra, which is a necessity for most mathematics students in sufficient breadth and depth.

分发 发表于 2025-3-24 06:48:22

http://reply.papertrans.cn/16/1525/152424/152424_16.png

淡紫色花 发表于 2025-3-24 12:29:09

https://doi.org/10.1007/978-981-99-0475-4obtain really strong structure theorems. These ideas are discussed in full detail in the introductions to Sections 1 and 2 below. The reader would do well to read both these discussions before beginning serious study of the chapter.

ACE-inhibitor 发表于 2025-3-24 17:07:42

The Structure of Rings,obtain really strong structure theorems. These ideas are discussed in full detail in the introductions to Sections 1 and 2 below. The reader would do well to read both these discussions before beginning serious study of the chapter.

liaison 发表于 2025-3-24 21:37:00

http://reply.papertrans.cn/16/1525/152424/152424_19.png

连累 发表于 2025-3-25 02:42:24

Maiada M. El-Dawayati,Zeinab E. Zayed and its equivalents (Section 7) and cardinal arithmetic (last part of Section 8) may be postponed until this information is actually used. Finally the reader is presumed to have some familiarity with the fields ., ., and . of rational, real, and complex numbers respectively.
页: 1 [2] 3 4 5
查看完整版本: Titlebook: Algebra; Thomas W. Hungerford Textbook 1974 Springer-Verlag New York, Inc. 1974 Adjoint functor.Coproduct.Galois theory.algebra.field.fini