About: Prime element

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Nonzero, non-unit element p in a commutative ring R such that, whenever p divides ab for some a and b in R, then p divides a or p divides b (or both)

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  • element p nenul și nu o unitate dintr-un inel comutativ, care dacă divide pe ab, divide sau pe a, sau pe b, sau pe ambii (ro)
  • nonzero, non-unit element p in a commutative ring R such that, whenever p divides ab for some a and b in R, then p divides a or p divides b (or both) (en)
  • niezerowy element dziedziny całkowitości R (pl)
  • elemento distinto de cero e non unidade p nun anel conmutativo R tal que, sempre que p divide ab para algúns a e b en R, entón p divide a ou p divide b (ou ambos) (gl)
  • neničelni, neenotski element p v komutativnem kolobarju R tako, da kadar koli p deli ab pri nekem a in b v R, potem p deli a ali p deli b (ali oboje) (sl)
  • nenula, neinversigebla elemento p en komuta ringo R, tia ke, se a kaj b estas elementoj de R kaj p dividas ab, do aŭ p dividas a, aŭ p dividas b (eo)
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  • Prime element (en)
  • Prvočinitel (cs)
  • عنصر أولي (ar)
  • Prima elemento (eo)
  • Elemento primo (es)
  • Primelement (de)
  • Élément premier (fr)
  • 素元 (ja)
  • Element pierwszy (pl)
  • Elemento primo (pt)
  • Primelement (sv)
  • Простий елемент (uk)
  • Простой элемент (ru)
  • 質元素 (zh)
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