Rings Definition and 437 Threads

I've already completed 1), but it's necessary for one to know it for question 2). I'm pretty sure that I've found my homomorphism in 2, but I don't know whether or not is unique. How do I show a homomorphism is unique in this case? Problem 1: Let R be a commutative unital ring, and let S be a...

Is there a simple method for finding all the units in a polynomial quotient ring over a finite field? For example: {F_2[x] \over x^7-1} I can see the easy ones like 1, and all power of x, but I wanted a general rule or method for finding all of them if it exists (besides testing each...

Figuring sum of double bonds and rings ?? Does anyone know how if there is a way to figure out the sum of double bonds and rings of a compound C6H9BrO ?? Lost.. thank you.

I won't say who said it, but does this sound right to you? Dendrochronolgists on TV all say it so easy, you count the tree rings and the space in between, and that will tell you about the temperature and precipitation and how long the tree lived. Also: This sounds kind of dumb, but what about...

Hi. I have some homework questions here that I need a little help on. I know the fomulae to use just do not know how to apply it properly. Any help will be appreciated. In a Newton's Ring experiment, a planoconvex glass (n=1.54) lens having a diameter 14.3 cm is placed on a flat plate. When...

http://hubblesite.org/newscenter/newsdesk/archive/releases/2005/33/full/

Let p,q be two prime numbers. Prove that there exists a homeomorphism of rings such that f([1]_p)=[1]_q from Z_p[X] into Z_q[X] if and only if p=q. I believe that the converse of the statement is trivial but the implication seems to be obvious? I really don't know what there really is to...

Hello, I would be interrested in comments, references, books, papers and web pages regarding the problem of mechanical contact between two rings. The attached picture describes the geometry of the problem: a ring (tube) is resting on the bottom of a larger ring (tube). These two rings are...

Hello, I would be interrested in comments, references, books, papers and web pages regarding the problem of mechanical contact between two rings. The attached picture describes the geometry of the problem: a ring (tube) is resting on the bottom of a larger ring (tube). These two rings are...

http://hosted.ap.org/dynamic/stories/S/SATURN_RINGS?SITE=TNNAT&SECTION=HOME&TEMPLATE=DEFAULT

Some of the squabbles over how the immense profits from the "Lord of the Rings" are to be divided, have now been settled out of court, according to this article: http://news.independent.co.uk/world/americas/article309203.ece Still, a lot of quarrels remain; in particular, Peter Jackson&Fran...

Hi all, I'd like to know what these rings at high voltage connectors are good for: http://www.surplec.com/hvt_polemount_shipping.jpg http://www.surplec.com/hvt_inventaire_15.jpg http://www.recursivemediaone.com/high%20voltage%203%20gs.jpg

A steel sphere sits on top of an aluminum ring. The steel sphere (a (average coefficient of linear expansion) = 1.1*10^-5/C) has a diameter of 4 cm at 0 C. The aluminum ring (a = 2.4*10^-5/C) has an inside diameter of 3.9940 cm at 0 C. Closest to which temperature given will the sphere...

The Other Day I Was Sitin In A Bar Looking At My Freinds Smoking , They Tried And Tried To Blow A Smoke Ring But Could'nt ,it Ws Agreed That Its Not Possible To Create Smoke Rings At Will ,its A Flash In The Pan , But I Differed ,surely Their Must Be Some Condition For Creating A Smoke Ring ,i...

I'm just starting rings and I don't think I really understand them. When an operation is shown as a grid where the entry i, j in the grid is the element (i op b), I can see immediately what the commutative property looks like (grid symmetric about diagonal from top left) and what a unit, a...

Most giant planets we know of are Gas Giants. Is it possible for a planet made of rocks to be the size of jupiter? In other words is it possible for a Rock Giant? Also, is it also possible for a rocky planet to have rings around it like Saturn? Though we have found no rocky planet with rings...

Those of you stressing over grad school should read this ... funny stuff. (I am not the author, by the way, I just found it amusing). http://www.livejournal.com/users/capthek/224706.html

...then you'll probably like playing this: Kings of Chaos

I don't really know where this thread belongs. I trust the mentor to move it, if necessary. How do mood rings work? How accurate are they? As always, any and all relevant information is appreciated.

I really don't want to define a homomorphism like psi(p(x))=p(x-1+I I'm looking for another way to solve that next question: Show that Q[x]/(x-1) is isomorphic to Q[x]/(x-2). Any ideas? Thanks in advance.

Groups, Rings, Fields? I know what groups, rings, and fields are. My question is why are groups, fields, and rings defined the way they are? Why did mathematicians chose the properties that they did that define groups, rings, and fields? What is so special about those properties? Why...

I am designing a machine called a Ring Expander. Simply put, it's a machine used in metal forging operations to stretch metal rings (15 x 15cm cross section, 30cm inside diameter, 60cm outside diameter) by about 20mm on the diameter. It does this by forcing a cone through a set of jaws, which...

Was wondering how they steered cassini through saturns rings, on that note how do they know where these probes are at anyone time.

Spectrum of a Rings So I think I'm finally getting the definition of a scheme, but the texts I'm using aren't exactly ripe with examples. So, I wanted to condier some ring spectra to construct examples... I played around with the simple examples Z and Z[x], and my next thought was to look at...

Does DNA ever occur as a complete uniform ring, rather than a(n approximate) strand?

Many people who believe the Earth is 6,000 years old, claim that Saturn's rings would fall onto the planet or lump together or somthing in less than 10,000 years, "proving" that the universe is less than 10,000 years old. I told on that, to the best my knowledge that Titan and Saturn had a...

Antbody heard of that guy Alex Chiu? He's the guy with the rings of life, or whatever it was he calls them- I'm not exactly sure, but those were neat. Well, I was so into those rings, but I couldn't really remember where to get them most of the time, but I just found this link to his...

Hi there I've read the Lord of the Rings(more than once) and I feel quite let down because there was very little mentioned about the destruction of Sauron. I have heard about a book 'Sauron Defeated' by Christopher Tolkien. I would like to ask anyone who read that book to post their reviews...

A few questions: 1) Why Frodo had to leave? 2) How can Sam defeat the big spider? Why not she spelled out the web to entangle him? 3) How can the king-Aragon marry Arwen who is of different species? 4) Why Frodo put on the ring at the brink of valcano while he actually had plenty of...

How many people bought class rings from high school? I always thought it was a waste of money personally, just like letter jackets. Who actually wears them out of high school?

Hey folks, I've been watching the first two LOTR movies a lot, in anticipation of the 3rd one to come out in December. Lately I've been noticing all the imagery that Led Zeppelin borrows from that trilogy, and I am now listening to "Battle of Evermore", which mentions the ringwraiths. That...

http://math2.org/cgi-bin/mmb/server.pl?action=image&msgid=62326&fname=ringname.gif I know that polar concentric rings are known as "lines of latitude" or parallels, but what are equatorially concentric rings called?--e.g., the 90° equatorially concentric ring would be a line of longitude...

how do planetary rings form? how do they move? what are some theories?

As most of you are aware, tidal action between the Earth and Moon is both causing the Earth to slow down in its rotation and the Moon to recede from the Earth. Without going into too much detail, the essential culprit is the fact that the Earth's rotation tends to drag the tidal bulge with...

EDIT: don't click on this hillariously dumb man's invention. Explanation at end of thread.

http://hyperphoto.photoloft.com/view/exportImage.asp?s=cano&i=10632399&w=400&h=291 (solar) http://hyperphoto.photoloft.com/view/exportImage.asp?s=cano&i=10632437&w=640&h=550 (rings) Strange and mysterious things happen in the Sun's Corona. Indeed, according to our current...

Guys & Gals Everyone has seen the jumping rings demonstration…. Aluminium works fine, so does silver, iron and steel just stick to the coil Cut slots or drill holes in the disks and you get what you would expect BUT… Why doesn’t gold work? Cheers Mike