Bhaskara Rao K.P.S. — Theory of generalized inverses over commutative rings :: Электронная библиотека попечительского совета мехмата МГУ

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Bhaskara Rao K.P.S. — Theory of generalized inverses over commutative rings

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Название: Theory of generalized inverses over commutative rings

Автор: Bhaskara Rao K.P.S.

Аннотация:

Rao (Southwestern College, Kansas) surveys known results about the theory of g-inverses of matrices over rings. Suitable for a graduate course, the book introduces regular elements in a ring, characterizes regular matrices over principal ideal rings, and describes regular matrices over commutative rings and, more specifically, integral domains

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 165

Добавлена в каталог: 11.05.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

1-inverse      15
2-inverse      15
Adjoint      9
Annihilator      11
Associative ring      1
Bordering      135
Canonical Decomposition Theorem of Prasad      114
Cauchy — Binet theorem      9
Characteristic polynomial      92
Commutative ring      1
Commuting g-inverse      16
Compound matrix      11
Cramer rule      127
Drazin inverse      16
Euclidean Domain      2
Euclidean norm      2
Formally real      58
G-inverse      15
Generalized Cramer Rule      129
Generalized inverse      15 17 18
Generalized Moore — Penrose inverse      98
Greatest common divisor      2
Group inverse      16
Hall matrix      157
Ideal      2
Idempotent      1
Identity      1
INDEX      93
Inner inverse      15
Integral domain      2
Invariant factors      38
Invertible matrix      20

Jacobi identity      133
Laplace expansion theorem      8
Left regular      18
M-P inverse      16
Moore — Penrose equations      15
Moore — Penrose inverse      16
Principal ideal domain      2
Principal ideal ring      2
Projective free      48
Rank factorization      24
Rank function      130
Rao condition      51
Rao-idempotent      107
Rao-index      117
Rao-list of idempotents      117
Rao-list of ranks      117
Rao-regular      106
Rao-regular matrix      107
Real closed field      59
Regular      15 17
Regular inverse      15 17
Regular ring      19
Right regular      18
Ring      1
Ring with an involution      1
Robinson's Decomposition Theorem      116
Subring      1
Symmetric involution      142
Unimodular matrix      20
UNIT      1
Zero divisors      1
{1,3}-inverse      16

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