Relations between Elements r²-r

Andrzej Prószyński

Bulletin of the Polish Academy of Sciences. Mathematics (2007)

  • Volume: 55, Issue: 4, page 317-323
  • ISSN: 0239-7269

Abstract

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We prove that generating relations between the elements [r] = r²-r of a commutative ring are the following: [r+s] = [r]+[s]+rs[2] and [rs] = r²[s]+s[r].

How to cite

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Andrzej Prószyński. "Relations between Elements r²-r." Bulletin of the Polish Academy of Sciences. Mathematics 55.4 (2007): 317-323. <http://eudml.org/doc/281253>.

@article{AndrzejPrószyński2007,
abstract = {We prove that generating relations between the elements [r] = r²-r of a commutative ring are the following: [r+s] = [r]+[s]+rs[2] and [rs] = r²[s]+s[r].},
author = {Andrzej Prószyński},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {ideals of commutative rings; generators and relations; higher degree mappings},
language = {eng},
number = {4},
pages = {317-323},
title = {Relations between Elements r²-r},
url = {http://eudml.org/doc/281253},
volume = {55},
year = {2007},
}

TY - JOUR
AU - Andrzej Prószyński
TI - Relations between Elements r²-r
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 4
SP - 317
EP - 323
AB - We prove that generating relations between the elements [r] = r²-r of a commutative ring are the following: [r+s] = [r]+[s]+rs[2] and [rs] = r²[s]+s[r].
LA - eng
KW - ideals of commutative rings; generators and relations; higher degree mappings
UR - http://eudml.org/doc/281253
ER -

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