Rengasteoria

Rengasteoria on algebran osa-alue, jonka tutkimuskohteena ovat renkaat – algebralliset rakenteet, joille on määritelty yhteen- ja kertolasku.

Vaihdannaiset renkaat 

Rengasta kutsutaan vaihdannaiseksi, jos sen kertolasku on vaihdannainen. Jos  on rengas, jossa on määritelty yhteenlasku () ja kertolasku (), niin  on vaihdannainen, jos mille tahansa alkioille  pätee . Esimerkkejä vaihdannaisista renkaista ovat polynomirenkaat, algebrallisten kokonaislukujen renkaat samoin kuin tavalliset kokonaisluvut, ja p-aditiset kokonaisluvut.

Kirjallisuutta

Suomeksi

Englanniksi 

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