prime ring:Prime ring
Prime ring
Inabstractalgebra,anonzeroringRisaprimeringifforanytwoelementsaandbofR,arb=0forallrinRimpliesthateithera=0orb=0.Thisdefinitioncanberegardedasasimultaneousgeneralizationofbothintegraldomainsandsimplerin。其他文章還包含有:「abstractalgebra」、「primering」、「Primerings」、「高級活頁卡冊-9格(藍)PRIMERING」、「PrimeRing」、「Primeelement」、「DERIVATIONSINPRIMERINGS」、「d396.00524」
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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.
prime ring
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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 ...
Prime rings
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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 ...
高級活頁卡冊-9格(藍) PRIME RING
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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。
Prime Ring
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Prime Ring. A ring for which the product of any pair of ideals is zero only if one of the two ideals is zero. All simple rings are prime.
Prime element
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In mathematics, specifically in abstract algebra, a prime element of a commutative ring is an object satisfying certain properties similar to the prime ...
DERIVATIONS IN PRIME RINGS
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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.
d396. 00524
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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 ...