In mathematics, and more specifically in abstract algebra, a ring is an algebraic structure that abstracts and generalizes the basic arithmetic operations, specifically the operations of addition and multiplication. Rings are specifically studied in the branch of mathematics known as algebra, but are used in most areas of mathematics, including geometry and mathematical analysis. They allow mathematicians to apply theorems in elementary algebra to non-numerical objects like polynomials, series and functions. The formal definition of rings is relatively recent (end of 19th century), and is an example of the tendency of modern mathematics to introduce, study, and manipulate abstract structures.
Briefly, a ring is an abelian group with a second binary operation that is associative and is distributive over the abelian group operation. The abelian group operation is called "addition" and the second binary operation is called "multiplication" in analogy with the integers. One familiar example of a ring is the set of integers. The integers are a commutative ring, since a times b is equal to b times a. The set of polynomials also forms a commutative ring. An example of a non-commutative ring is the ring of square matrices of the same size. Finally, a field (such as the real numbers) is a commutative ring in which one can do "division" by any nonzero element.
The ring theory consists of two main parts: the commutative ring theory, commonly known as commutative algebra, and the noncommutative ring theory. The former primarily concerns itself with problems and naturally occurring ideas in algebraic number theory and algebraic geometry. Important commutative rings include fields, polynomial rings, the coordinate rings of algebraic varieties and the rings of integers of number fields. On the other hand, the noncommutative theory is based on very different methods and, therefore, may not be viewed as a generalization of the commutative case. The major part of it is the structure theory: how a ring breaks up into simple pieces such as matrix rings. Many noncommutative rings come from analysis; e.g., operator algebras and rings of differential operators. Via group rings, the theory also found applications to the representation theory of groups. In geometry, the cohomology ring of a topological space constitutes an important geometric invariant of the space.
Darkstar Security CO.[ SHIPS WIP]
Forum rules
- Threads pertaining to subject matter other than visible ship building will be moved/deleted without notice.
- Flaming or insulting other members based on their work is prohibited - constructive feedback only.
- Users may bump threads in this subforum with no penalty so long as responses build upon the current topic.
- Threads pertaining to subject matter other than visible ship building will be moved/deleted without notice.
- Flaming or insulting other members based on their work is prohibited - constructive feedback only.
- Users may bump threads in this subforum with no penalty so long as responses build upon the current topic.
-
- Rear Admiral
- Posts:1890
- Joined:Sat Dec 01, 2012 9:39 am
- Affiliation:GLORIOUS REPUBLIC
Re: Darkstar Security CO.[ SHIPS WIP]
That's all well and good, but I don't think it has anything to do with what we're talking about.
;.'.;'::.;:".":;",,;':",;
(Kzinti script, as best as can be displayed in Human characters, translated roughly as "For the Patriarchy!")
(Kzinti script, as best as can be displayed in Human characters, translated roughly as "For the Patriarchy!")
-
- Lieutenant
- Posts:478
- Joined:Thu Dec 06, 2012 8:04 pm
- Affiliation:Voxel Co.
- IGN:Blockman42
- Location:Holocene
Re: Darkstar Security CO.[ SHIPS WIP]
Ya, lets not derail another thread.Last_Jedi_Standing wrote:That's all well and good, but I don't think it has anything to do with what we're talking about.
-
- Lt. Commander
- Posts:781
- Joined:Fri Dec 07, 2012 5:00 pm
- Affiliation:Darkstar Security CO
- Location:Brazil.
Re: Darkstar Security CO.[ SHIPS WIP]
So..the offtopic stopped:
Ok,back to ships!
The next will be the finished Battleship ARCHON!
Ok,back to ships!
The next will be the finished Battleship ARCHON!
" We explore... and you call us criminals. We seek after knowledge, and you call us criminals.We exist without skin color, without nationality, without religous bias... and you call us criminals.You build atomic bombs, you wage wars, you murder, cheat, and lie to us and try to make us believe it's for our own good, yet we're the
criminals.Yes, I am a crimial. My crime is that of curiosity."
EMPRAH * BRUVA
criminals.Yes, I am a crimial. My crime is that of curiosity."
EMPRAH * BRUVA
- Laserbilly
- Ensign
- Posts:299
- Joined:Sun Dec 09, 2012 8:31 am
Re: Darkstar Security CO.[ SHIPS WIP]
Looking forward to it! Also, when did you become a mod?
Re: Darkstar Security CO.[ SHIPS WIP]
Oh someone showed up at last, you missed the monthly mod elections, also in the MC subforum could you visit the project Aurora page ?
They're watching ...
"I am forbidden tag" -CvN
"I am forbidden tag" -CvN
-
- Lt. Commander
- Posts:781
- Joined:Fri Dec 07, 2012 5:00 pm
- Affiliation:Darkstar Security CO
- Location:Brazil.
Re: Darkstar Security CO.[ SHIPS WIP]
Yeah \oLaserbilly wrote:Looking forward to it! Also, when did you become a mod?
You voted me,thanks ^^
" We explore... and you call us criminals. We seek after knowledge, and you call us criminals.We exist without skin color, without nationality, without religous bias... and you call us criminals.You build atomic bombs, you wage wars, you murder, cheat, and lie to us and try to make us believe it's for our own good, yet we're the
criminals.Yes, I am a crimial. My crime is that of curiosity."
EMPRAH * BRUVA
criminals.Yes, I am a crimial. My crime is that of curiosity."
EMPRAH * BRUVA
-
- Lt. Commander
- Posts:781
- Joined:Fri Dec 07, 2012 5:00 pm
- Affiliation:Darkstar Security CO
- Location:Brazil.
Re: Darkstar Security CO.[ SHIPS WIP]
" We explore... and you call us criminals. We seek after knowledge, and you call us criminals.We exist without skin color, without nationality, without religous bias... and you call us criminals.You build atomic bombs, you wage wars, you murder, cheat, and lie to us and try to make us believe it's for our own good, yet we're the
criminals.Yes, I am a crimial. My crime is that of curiosity."
EMPRAH * BRUVA
criminals.Yes, I am a crimial. My crime is that of curiosity."
EMPRAH * BRUVA
-
- Lt. Commander
- Posts:781
- Joined:Fri Dec 07, 2012 5:00 pm
- Affiliation:Darkstar Security CO
- Location:Brazil.
Re: Darkstar Security CO.[ SHIPS WIP]
" We explore... and you call us criminals. We seek after knowledge, and you call us criminals.We exist without skin color, without nationality, without religous bias... and you call us criminals.You build atomic bombs, you wage wars, you murder, cheat, and lie to us and try to make us believe it's for our own good, yet we're the
criminals.Yes, I am a crimial. My crime is that of curiosity."
EMPRAH * BRUVA
criminals.Yes, I am a crimial. My crime is that of curiosity."
EMPRAH * BRUVA
-
- Lt. Commander
- Posts:781
- Joined:Fri Dec 07, 2012 5:00 pm
- Affiliation:Darkstar Security CO
- Location:Brazil.
Re: Darkstar Security CO.[ SHIPS WIP]
Ivan2006 wrote:Ah, ICBM turrets on tanks, good idea!
I want to create a AA with the AA turret. Or heavyer versions with more turrets. This is for beggining \o
" We explore... and you call us criminals. We seek after knowledge, and you call us criminals.We exist without skin color, without nationality, without religous bias... and you call us criminals.You build atomic bombs, you wage wars, you murder, cheat, and lie to us and try to make us believe it's for our own good, yet we're the
criminals.Yes, I am a crimial. My crime is that of curiosity."
EMPRAH * BRUVA
criminals.Yes, I am a crimial. My crime is that of curiosity."
EMPRAH * BRUVA
-
- Fleet Admiral
- Posts:3021
- Joined:Fri Dec 07, 2012 12:10 pm
- Affiliation:[redacted]
- IGN:Ivan2006
- Location:In a universe.
- Contact:
Re: Darkstar Security CO.[ SHIPS WIP]
Wow, only just realized there is a MC 1.5.2 version of ICBM out with AA turrets!
Yay! Downloading activated!
Yay! Downloading activated!
Quotes:
Spoiler:
-
- Lt. Commander
- Posts:781
- Joined:Fri Dec 07, 2012 5:00 pm
- Affiliation:Darkstar Security CO
- Location:Brazil.
Re: Darkstar Security CO.[ SHIPS WIP]
" We explore... and you call us criminals. We seek after knowledge, and you call us criminals.We exist without skin color, without nationality, without religous bias... and you call us criminals.You build atomic bombs, you wage wars, you murder, cheat, and lie to us and try to make us believe it's for our own good, yet we're the
criminals.Yes, I am a crimial. My crime is that of curiosity."
EMPRAH * BRUVA
criminals.Yes, I am a crimial. My crime is that of curiosity."
EMPRAH * BRUVA
-
- Lt. Commander
- Posts:781
- Joined:Fri Dec 07, 2012 5:00 pm
- Affiliation:Darkstar Security CO
- Location:Brazil.
Re: Darkstar Security CO.[ SHIPS WIP]
A question : What i should do next? A better carrier?
" We explore... and you call us criminals. We seek after knowledge, and you call us criminals.We exist without skin color, without nationality, without religous bias... and you call us criminals.You build atomic bombs, you wage wars, you murder, cheat, and lie to us and try to make us believe it's for our own good, yet we're the
criminals.Yes, I am a crimial. My crime is that of curiosity."
EMPRAH * BRUVA
criminals.Yes, I am a crimial. My crime is that of curiosity."
EMPRAH * BRUVA
- Laserbilly
- Ensign
- Posts:299
- Joined:Sun Dec 09, 2012 8:31 am
Re: Darkstar Security CO.[ SHIPS WIP]
a carrier!