If R[x] is a P.I.D. and R commutative, then R is a field Post published:June 27, 2023 Post category:Mathematics/Ring Theory Post comments:0 Comments Continue ReadingIf R[x] is a P.I.D. and R commutative, then R is a field

The ideal M of R is maximal iff the quotient ring R/M is a field Post published:March 21, 2023 Post category:Mathematics/Ring Theory Post comments:0 Comments Continue ReadingThe ideal M of R is maximal iff the quotient ring R/M is a field

The commutative ring R is a field iff its only ideals are 0 and R Post published:March 17, 2023 Post category:Mathematics/Ring Theory Post comments:0 Comments Continue ReadingThe commutative ring R is a field iff its only ideals are 0 and R

Show that Q[sqrt(2)] is a field Post published:November 9, 2022 Post category:Field Theory/Mathematics Continue ReadingShow that Q[sqrt(2)] is a field