Prime Ring

Prime Ring

PrimeRing.Aringforwhichtheproductofanypairofidealsiszeroonlyifoneofthetwoidealsiszero.Allsimpleringsareprime.。其他文章還包含有:「Primering」、「abstractalgebra」、「primering」、「Primerings」、「高級活頁卡冊-9格(藍)PRIMERING」、「Primeelement」、「DERIVATIONSINPRIMERINGS」、「d396.00524」

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Proper idealPrime element
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Prime ring
Prime ring

https://en.wikipedia.org

In abstract algebra, a nonzero ring R is a prime ring if for any two elements a and b of R, arb = 0 for all r in R implies that either a = 0 or b = 0. This definition can be regarded as a simultaneous generalization of both integral domains and simple rin

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abstract algebra
abstract algebra

https://math.stackexchange.com

Let R be a noncommutative ring without identity. Recall that a ring R is said to be a prime ring if aRb=(0),a,b∈R implies that a=0 or b=0.

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prime ring
prime ring

https://en.wiktionary.org

Noun · (algebra, ring theory) Any nonzero ring R such that for any two (two-sided) ideals P and Q in R, the product PQ = 0 (the zero ideal) if and only if P = 0 ...

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Prime rings
Prime rings

https://ysharifi.wordpress.com

Proposition 1 gives the following simple yet useful test to check if a ring is prime or not. This is useful because it's in terms of elements ...

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高級活頁卡冊-9格(藍) PRIME RING
高級活頁卡冊-9格(藍) PRIME RING

https://www.gokids.com.tw

高級活頁卡冊-9格配有3個耐用的D形環,可以裝入標準尺寸卡片的18口袋或9口袋頁面。 它覆蓋有Nexofyber表面,具有優雅的外觀和舒適的手感,同時具有防污和防水功能。

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Prime element
Prime element

https://en.wikipedia.org

In mathematics, specifically in abstract algebra, a prime element of a commutative ring is an object satisfying certain properties similar to the prime ...

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DERIVATIONS IN PRIME RINGS
DERIVATIONS IN PRIME RINGS

https://www.cambridge.org

Suppose a prime ring R with derivation d^O is an algebra over a commutative ring A such that d(R) is contained in a finitely generated submodule of R. Does R.

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d396. 00524
d396. 00524

https://zerojudge.tw

有一個環(ring)是由n 個圈圈所組成的(在這裡n 一定是個偶數),我們想要把1 到n 的自然數各放到一個圈圈中,使得相鄰2 個圈圈中的數的和一定是質數 ...