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Bourbaki N. — Algebra I: Chapters 1-3
Bourbaki N. — Algebra I: Chapters 1-3



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Название: Algebra I: Chapters 1-3

Автор: Bourbaki N.

Аннотация:

This is the softcover reprint of the English translation of 1974 (available from Springer since 1989) of the first 3 chapters of Bourbaki's 'Algèbre'. It gives a thorough exposition of the fundamentals of general, linear and multilinear algebra. The first chapter introduces the basic objects: groups, actions, rings, fields. The second chapter studies the properties of modules and linear maps, especially with respect to the tensor product and duality constructions. The third chapter investigates algebras, in particular tensor algebras. Determinants, norms, traces and derivations are also studied.


Язык: en

Рубрика: Математика/

Серия: Н.Бурбаки. Элементы математики

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1998

Количество страниц: 740

Добавлена в каталог: 04.07.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Term in $X^\alpha$ in a polynomial      III § no.
Term of a formal power series      III § no.
Term of a polynomial      III § no.
Term of a sum      I § no.
Term of degree p with respect to certain indeterminates in a formal power series      III § no.
Term of total degree p in a formal power series      III § no.
Term, constant, of a formal power series      III § no.
Term, constant, of a polynomial      III § no.
Theorem of the complete quadrilaterial      II § Exercise
Theorem, associativity      I § no.
Theorem, Cayley — Hamilton      III § no.
Theorem, commutativity      I § no.
Theorem, Desargues's      II § Exercise
Theorem, Erdds — Kaplansky      II § Exercise
Theorem, fundamental, of projective geometry      II § Exercise
Theorem, Hall's      I § Exercise
Theorem, Jordan — Holder      I §4 no.
Theorem, Kaplansky's      II § Exercise
Theorem, Krull's      I § no.
Theorem, Nielsen — Schreier      I § Exercise
Theorem, Pappus's      II §9 Exercise
Theorem, Schreier's      I § no.
Torsion element, module, submodule      II § no.
Torsion-free module      II § no.
Total algebra of a monoid      III § no.
Total graduation      II § no.
Totally orthogonal (submodule) to a subset      II § no.
Trace in a quadratic algebra      III § no.
Trace of a matrix      II § no.
Trace of a scalar with respect to a module      III § no.
Trace of an element in a K-algebra      III § no.
Trace of an endomorphism      II § no.
Trace, Cayley      III § no.
Transitive operation      I § no.
Transitivity formulae      III § no.
Translation in an affine space, space of translations      II § no.
Translation, left, right      I § no.
Translation, left, right (monoid operating on itself by)      I § no.
Transporter, strict transporter      I § no.
Transpose of a linear mapping, of a semi-linear mapping      II § no.
Transpose of a matrix      II § no.
Transposition      I § no.
Transvection      II § Exercise
Triangular, lower, upper triangular, matrix      II § no.
Trivial extension      I § no.
Trivial graduation      II § no.
Trivial homomorphism      I § no.
Trivial operation      I § no.
Trivial solution of a homogeneous linear equation      II § no.
Trivial system of commutation factors      III § no.
Two-sided ideal      I § no. § no.
Type $\Delta$, graduation of      II § no.
Type, exponential, group of      I § Exercise
Unimodular endomorphism      III § no.
Unimodular group      III § no.
Unimodular matrix      III § no.
Unit element of an algebra      III § no.
Unit, left, right, in a groupoid      I § Exercise
Unit, unit element of a magma      I § no.
Unital algebra      III § no.
Unital algebra homomorphism, morphism      III § no.
Unital homomorphism      I § no.
Unital magma      I § no.
Units, matrix      II § no.
Universal algebra defined by a generating system related by a family of relators      III §2 no.
Universal algebra subjected to identities      III § no.
Universal relator      III § no.
Unknowns of a linear system      II § no.
Value of an element of a free algebra      III § no.
Value, absolute, of a rational number      I § no.
Vandermonde determinant      III § no.
Varieties, parallel linear      II § no.
Variety, affine linear, affine linear variety generated by a family      II § no.
Variety, linear      II § nos. 7
Variety, projective linear, projective linear variety generated by a family      II §9 nos.
Vector      II § no.
Vector rational over a subfield      II § no.
Vector space      II § no.
Vector, direction, of an affine line      II § no.
Vector, free, of an affine space      II § no.
Weight of a homogeneous element      II § no.
With no fixed point (automorphism)      I § Exercise
Word      I § no.
Zassenhaus's Lemma      I § no.
Zero      I § no.
Zero matrix      II § no.
Zero ring      I § no.
Zero solution of a linear equation      II § no.
Zero submodule      II § no.
1 2 3 4 5
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