Tensor Product of Fields | Mathematics, Field (mathematics), Abstract Algebra, Direct Product, Field Extension, Distributivity, Ordered Field, Finite Field, P-adic Number, Linear Algebra

Lambert M. Surhone (u. a.)

ISBN 10: 6130350082 / ISBN 13: 9786130350086

Published by OmniScriptum, 2026

About this Item

Tensor Product of Fields | Mathematics, Field (mathematics), Abstract Algebra, Direct Product, Field Extension, Distributivity, Ordered Field, Finite Field, P-adic Number, Linear Algebra | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130350086 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.

Seller Inventory # 113214460

Bibliographic Details

• Title: Tensor Product of Fields | Mathematics, Field (mathematics), Abstract Algebra, Direct Product, Field Extension, Distributivity, Ordered Field, Finite Field, P-adic Number, Linear Algebra
• Publisher: OmniScriptum
• Publication Date: 2026
• Language: English
• ISBN 10: 6130350082
• ISBN 13: 9786130350086
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 5D millimeters 220 millimeters width by 150 millimeters height by 5 millimeters depth
• Weight: 125 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the theory of fields in abstract algebra lacks a direct product: the direct product of two fields, considered as a ring is never itself a field. On the other hand it is often required to ''join'' two fields K and L, either in cases where K and L are given as subfields of a larger field M, or when K and L are both field extensions of a smaller field N (for example a prime field). The tensor product of fields is the best available construction on fields with which to discuss all the phenomena arising. As a ring, it is sometimes a field, and often a direct product of fields; it can, though, contain non-zero nilpotents (see radical of a ring).