| 000 -LEADER |
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| fixed length control field |
02202nam a22002417a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20241126172127.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
190408b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783642729010 |
| 040 ## - CATALOGING SOURCE |
|---|
| Transcribing agency |
Tata Book House |
| Original cataloging agency |
ICTS-TIFR |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA251.4 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
A. I. Kostrikin |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
Algebra II |
| Remainder of title |
: noncommutative rings, identities |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
Heidelberg: |
| Name of publisher, distributor, etc. |
Springer-Verlag, |
| Date of publication, distribution, etc. |
[c1991] |
| 300 ## - Physical Description |
|---|
| Pages: |
234 p |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Encyclopaedia of Mathematical Sciences |
| Volume/sequential designation |
Vol. 18 |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
1. Noncommutative Rings<br/>2. Identities |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
The algebra of square matrices of size n ~ 2 over the field of complex numbers is, evidently, the best-known example of a non-commutative alge 1 bra • Subalgebras and subrings of this algebra (for example, the ring of n x n matrices with integral entries) arise naturally in many areas of mathemat ics. Historically however, the study of matrix algebras was preceded by the discovery of quatemions which, introduced in 1843 by Hamilton, found ap plications in the classical mechanics of the past century. Later it turned out that quaternion analysis had important applications in field theory. The al gebra of quaternions has become one of the classical mathematical objects; it is used, for instance, in algebra, geometry and topology. We will briefly focus on other examples of non-commutative rings and algebras which arise naturally in mathematics and in mathematical physics. The exterior algebra (or Grassmann algebra) is widely used in differential geometry - for example, in geometric theory of integration. Clifford algebras, which include exterior algebras as a special case, have applications in rep resentation theory and in algebraic topology. The Weyl algebra (Le. algebra of differential operators with· polynomial coefficients) often appears in the representation theory of Lie algebras. In recent years modules over the Weyl algebra and sheaves of such modules became the foundation of the so-called microlocal analysis. --- summary provided by publisher |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematics |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
I. R. Shafarevich |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://link.springer.com/book/10.1007/978-3-642-72899-0">https://link.springer.com/book/10.1007/978-3-642-72899-0</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
|
| Koha item type |
Book |
