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M is a finitely cogenerated module if and only if soc(M) is finitely generated and soc(M) is an essential submodule of M. Since the sum of semisimple modules is semisimple, the socle of a module could also be defined as the unique maximal semisimple submodule. From the definition of rad(R), it is easy to see that rad(R) annihilates soc(R).
With simple interest, your interest rate payments are added into your monthly payments, but the interest doesn’t compound. For example, a five-year loan of $1,000 with simple interest of 5 ...
Here’s what the letters represent: A is the amount of money in your account. P is your principal balance you invested. R is the annual interest rate expressed as a decimal. N is the number of ...
Consumer math comprises practical mathematical techniques used in commerce and everyday life. In the United States, consumer math is typically offered in high schools , some elementary schools , or in some colleges which grant associate's degrees .
Smoothness is a concept which mathematics has endowed with many meanings, from simple differentiability to infinite differentiability to analyticity, and still others which are more complicated. Each such usage attempts to invoke the physically intuitive notion of smoothness. strong, stronger
In finance, permanent interest bearing shares (PIBS) are fixed-interest securities issued by building societies. PIBS become perpetual subordinated bonds if their issuer demutualises. Building societies use them in the way public limited companies use preference shares. Although similar to bonds, PIBS typically exist as long as their issuer ...
Abstraction in mathematics is the process of extracting the underlying structures, patterns or properties of a mathematical concept, removing any dependence on real world objects with which it might originally have been connected, and generalizing it so that it has wider applications or matching among other abstract descriptions of equivalent phenomena.
In computer science, separation of concerns (sometimes abbreviated as SoC) is a design principle for separating a computer program into distinct sections. Each section addresses a separate concern , a set of information that affects the code of a computer program.