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標(biāo)題: Titlebook: Basic Structures of Modern Algebra; Yuri Bahturin Book 1993 Springer Science+Business Media Dordrecht 1993 Homological algebra.Vector spac [打印本頁(yè)]

作者: 高出來的名詞    時(shí)間: 2025-3-21 19:03
書目名稱Basic Structures of Modern Algebra影響因子(影響力)




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作者: 乏味    時(shí)間: 2025-3-21 23:38

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作者: 和平    時(shí)間: 2025-3-22 10:01

作者: 帶子    時(shí)間: 2025-3-22 16:51
Varieties of Algebras,hat . is an .-ary (or .-local) operation on ., i.e. . is a mapping from . into .. For . = 0 the mapping . simply fixes an element from . (it can be assumed that . ∈ .). For instance, a multiplicative group . with unit . and inverse element .. for . ∈ . is a universal algebra with set of operations .
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作者: 使饑餓    時(shí)間: 2025-3-23 07:16
Groups,ore, is representable in the form ./., where . is some maximal ideal. Further, as was mentioned already, ./. is a field which is finitely generated over . as an algebra. From the Hilbert Nullstellensatz follows that each element from ./. is algebraic over ., i.e. ./. is a finitely generated algebrai
作者: 招致    時(shí)間: 2025-3-23 10:05
https://doi.org/10.1007/978-3-030-50743-5a vector . ∈ . the vector λ., which is equal to the usual product of elements λ, . ∈ .. If the dimension dim.. of this vector space is finite then . is called a . extension of the field ., and dim.. is called the degree of this extension (often it is denoted as (. : .) or [. : .]). For instance, the
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作者: 深陷    時(shí)間: 2025-3-23 20:57
https://doi.org/10.1007/978-3-030-90539-2 according to the density theorem (see, Subsection 2.1.1), a ring which posseses a faithfull irreducible module, a so-called . ring, has a sufficiently determined structure which is close to the structure of an algebra of all linear operators on a linear space. It is clear that this statement acquir
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作者: endure    時(shí)間: 2025-3-24 09:39
Lecture Notes in Computer Sciencehat . is an .-ary (or .-local) operation on ., i.e. . is a mapping from . into .. For . = 0 the mapping . simply fixes an element from . (it can be assumed that . ∈ .). For instance, a multiplicative group . with unit . and inverse element .. for . ∈ . is a universal algebra with set of operations .
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作者: probate    時(shí)間: 2025-3-24 17:28
Time Series Mining at Petascale PerformanceThe purpose of this introduction is to explain in a condensed form the main definitions and results in group, ring and field theory that are usually presented in elementary standard courses of a study in physics or mathematics.
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作者: delta-waves    時(shí)間: 2025-3-25 04:14
Introduction,The purpose of this introduction is to explain in a condensed form the main definitions and results in group, ring and field theory that are usually presented in elementary standard courses of a study in physics or mathematics.
作者: Obstruction    時(shí)間: 2025-3-25 10:13
Algebraic Groups,Let . be a non—empty set, . a field. We denote by . the algebra of functions on . with values in . The (pointwise) operations of addition, multiplication of functions, and multiplication by scalars from . are:
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Homological Algebra,at, moreover, Ker ... ? Im .. for any n. A special case is an . complex, i.e. a sequence (1) such that Ker ... = Im .. for any .. . complexes can also be regarded. A . is an exact sequence of the form
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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.
作者: chuckle    時(shí)間: 2025-3-27 01:56
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.
作者: 匍匐前進(jìn)    時(shí)間: 2025-3-27 06:24
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.
作者: GUEER    時(shí)間: 2025-3-27 12:25
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.
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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
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