阻塞
发表于 2025-3-26 23:03:16
Commutative Algebra, field of complex numbers . has degree 2 over the field of real numbers . and infinite degree (or to be more exact, no finite degree) over the field of rational numbers .. An important property of finite extensions is expressed by the following lemma.
chuckle
发表于 2025-3-27 01:56:47
Associative Rings,es a precise meaning only by imposing certain definite restrictions. As an example of what is meant we offer the algebra A(.) of all associative non-commuting polynomials in . with coefficients from some field . of zero characteristic. Indeed, such an algebra is primitive.
匍匐前进
发表于 2025-3-27 06:24:24
Varieties of Algebras, = {.., .., ..} such that .. = ., ..(.) = .., ..(., .) = . (., . ∈ .). It is clear that not each universal algebra with such a set of operations is a group: as a matter of fact, nothing is said about the properties of the operations.
GUEER
发表于 2025-3-27 12:25:33
Lecture Notes in Computer Scienceis happens in the case of an arbitrary set . of pairwise commuting operators, i.e. for a set such that . − . = 0 for any . ∈ .. The generalization of this result brings a new operation, the commutator of linear operators, and, further, yields the concept of a (linear) Lie algebra.
来就得意
发表于 2025-3-27 14:59:52
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葡萄糖
发表于 2025-3-27 20:53:06
Book 1993n 1981 the course "Additional chapters in algebra" replaced the course "Gen eral algebra" which was founded by A. G. Kurosh (1908-1971), professor and head of the department of higher algebra for a period of several decades. The material of this course formed the basis of A. G. Kurosh‘s well-known
痛苦一生
发表于 2025-3-28 00:08:06
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Urologist
发表于 2025-3-28 02:26:51
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多余
发表于 2025-3-28 07:15:23
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自制
发表于 2025-3-28 13:43:47
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