Arnold D.M. — Finite Rank Torsion Free Abelian Groups and Rings :: Электронная библиотека попечительского совета мехмата МГУ

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Arnold D.M. — Finite Rank Torsion Free Abelian Groups and Rings

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Название: Finite Rank Torsion Free Abelian Groups and Rings

Автор: Arnold D.M.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1982

Количество страниц: 191

Добавлена в каталог: 06.07.2008

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Предметный указатель

Algebra, discriminant ( $\Delta_{k/F}$ )      10.6
Algebra, norm ( $N_{k/F}$ )      10.4
Algebra, reduced trace ( $tr_{k/F}$ )      10.6
Algebra, totally definite quaternion      8.15
Algebra, trace ( $T_{k/F}$ )      10.4
Cancellation      8.7
Cancellation, self      8.13
Category, additive      7.1
Category, idempotents split      7.2
Category, Krull — Schmidt      7.10
Category, module ()      13.2
Classes of groups, pseudo-rigid      6.1
Classes of groups, semi-rigid      6.1
Classes of groups, torsion free      4.2
Corner’s theorem      2.11
Direct sum, categorical      7.1
Direct sum, equivalent decompositions      2.11
Direct sum, injections      7.1
Direct sum, projections      7.2
Exchange property, finite      8.16
Exchange property, n      8.16
Field of definition      14.4
Field, quadratic number      3.3
Field, splitting      10.6
Functor, hom ()      5.1
Functor, tensor ()      5.1
Genus, class      12.2
Genus, summand      12.2
Grothendieck group, Jordan — Holder ()      13.1
Grothendieck group, Krull — Schmidt ()      13.9
Group, A-projective (P(A), $P^\infty (A)$ )      5.1
Group, almost completely decomposable      2.1
Group, completely decomposable      2.1
Group, cyclic p ()      1.3
Group, divisible      0.4
Group, faithful      5.6
Group, homogeneous      1.1
Group, homogeneous separable      5.8
Group, irreducible      15.1
Group, locally A-free      5.8
Group, locally E(A)-free      5.9
Group, p-irreducible      15.3
Group, p-local      2.12
Group, p-reduced      7.8
Group, p-simple      15.3
Group, purely indecomposable      2.9
Group, Q-simple      15.1
Group, quotient divisible      1.14
Group, R(A)-locally free      1.12
Group, R-      4.4
Group, reduced      0.4
Group, strongly homogeneous      15.7
Group, strongly indecomposable      2.2 7.6
Height sequence ()      1.1
Ideal, class group (I(S))      13.7
Ideal, invertible      11.4
Ideal, nilpotent      9.1

Ideal, prime      11.1
Indecomposable      7.2
Jordan — Zassenhaus theorem      11.8
Lattice      12.1
Localization, group ()      1.16
Localization, integers ()      0.4
Localization, ring ()      10.10
Module, inverse      11.1
Module, R-generator      11.2
Nakayama’s Lemma      9.12
Near isomorphism      7.12 12.5
Near isomorphism, characterization      13.6
Near summand      12.5
Order of module ( $O_\ell (M)$ , )      11.1
Order, maximal S-      10.2
Order, S-      10.1
p-height ()      1.1
p-rank      0.3
Polynomial, characteristic      10.3
Polynomial, minimum      10.3
Projective dimension $\leq 1$       11.4
Pure subgroup ()      0.2
Quasi-equal      7.18 9.8
Quasi-isomorphism      1.7 6.1 7.7
Quasi-projection      2.1 7.6
Quasi-summand      7.6
Radical, jacobson (J(R))      3.3 9.1
Radical, nil (N(R))      9.1
Rank      0.1
Ring, algebraic integers      10.8
Ring, center (C(R))      9.6
Ring, Dedekind domain      11.4
Ring, E-      14.6
Ring, endomorphism (E(A))      2.3
Ring, hereditary      5.6
Ring, integral closure      10.2
Ring, integral element      10.1
Ring, local      7.3
Ring, matrix ()      9.2
Ring, principal      5.5
Ring, quasi-endomorphism (QE(A))      3.1
Ring, semi-local      7.14 9.2
Ring, semi-simple      8.3
Socle, $\tau$ - ( $A(\tau)$ )      3.1 4.4
Socle, A- ()      5.4
Socle, p- (T[p])      0.3
Stable range, 1 in      8.1
Stable range, 2 in      8.10
Substitution property      8.1
Substitution property, one -      8.1
Substitution property, two -      8.10
TYPE      1.1
Type, inner (IT(A))      1.6
Type, non-nil      1.4
Type, operations      1.2
Type, outer (OT(A))      1.7
Type, Richman (RT(A))      1.8
Wedderburn principal theorem      14.1

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