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Mathematics 19 Online
OpenStudy (anonymous):

anybody know about rings and fields?

OpenStudy (mani_jha):

Like, Electric and gravitational fields?

OpenStudy (anonymous):

i don't know either, .

OpenStudy (anonymous):

do you mean like, planets ???

OpenStudy (anonymous):

no. . this is related to abstract algebra. .

OpenStudy (anonymous):

oh then i hav no idea !

OpenStudy (mani_jha):

Sorry, I know only know fields in physics. I haven't studied that advanced algrebra yet! But someone else will help you

OpenStudy (anonymous):

Gayo, do you know about algebraic structures?

OpenStudy (anonymous):

what's that?

OpenStudy (anonymous):

a ring (or a group, or field) is a structure (a set of numbers (or nything) with an operation (like addition, or evn functions) defined on it), which obeys certain rules.

OpenStudy (anonymous):

rules like commutativity, existence of a Zero element (so, if you put any element with it under the operation) the element comes out as it is. Associativity, additive inverse. etc.

OpenStudy (anonymous):

and that's it?

OpenStudy (anonymous):

just the start. Studying that let's you talk about entities and operationsdefined on them, in general (regardless of the obj and the operation). That is powerful, because you can apply it to a vast range of situations. The generality makes it "abstract". If youre planning to start learning it, try Michael Artin, or another algebra book like "bourbaki"

OpenStudy (anonymous):

ahh, thanks. .

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