Functional Identities

Name: Functional Identities
Brand: Springer Nature
SKU: 9783764377953
Availability: InStock

Functional Identities

Brand

Springer Nature

Manufacturer

N/A

Part Number

GTIN

9783764377953

Condition

New

0 Reviews

0 Questions | 0 Answers

Product Description

A functional identity (FI) can be informally described as an identical relation involving(arbitrary)elementsinaringtogetherwith(unknown)functions;more precisely,elementsaremultipliedbyvaluesoffunctions.ThegoalofthegeneralFI theory is to determine the form of these functions, or, when this is not possible, to determine the structure of the ring admitting the FI in question. This theory has turnedouttobeapowerfultoolfor solvingavarietyofproblemsindi?erentareas. It is not always easy to recognize that the problem in question can be interpreted through some FI; often this is the most intriguing part of the process. But once one succeeds in discovering an FI that ?ts into the general theory, this abstract theory then as a rule yields the desired conclusions at a high level of generality. Among classical algebraic concepts, the one of a polynomial identity (PI) seems to be, at least on the surface, the closest one to the concept of an FI. In fact, a PI is formally just a very special example of an FI (where functions are polynomials).However,the theoryof PIshasquite di?erent goalsthan the theory of FIs. One could say, especially from the point of view of applications, that the twotheoriesarecomplementaryto eachother.Under somenaturalrestrictions,PI theorydealswithringsthatareclosetoalgebrasoflowdimensions,whileFItheory gives de?nitive answers in algebras of su?ciently large or in?nite dimensions.

Available Colors

N/A

Available Sizes

N/A

1 Offer Price Range: $44.99 - $44.99

BEST PRICE

Single Product Purchase

$40.50

@ Link.springer.com with extra coupon Get Coupon & BUY

Price Comparison

Seller	Contact Seller	List Price	On Sale	Shipping	Best Promo	Final Price	Volume Discount	Financing	Availability	Seller's Page
BEST PRICE 1 Product Purchase @ Link.springer.com Rate Seller This functionality is for registered users only. Go to Login/Register		$44.99	$44.99		10% OFF This deals requires coupon Get Code Here your10off @ Link.springer.com Deals Ends 31/08/2025	$40.50		See Site	In stock	Visit Store