#REDIRECT Subring
In abstract algebra, a branch of mathematics, a subring is a subset of a ring (algebra), which is itself a ring under the same binary operations. More precisely, given a ring (''R'', +, *), we say that a subset ''S'' of ''R'' is a subring of ''R'' if it is a ring under the restriction of + and * to ''S'', and contains the same unity as ''R''. A subring is just a subgroup of (''R'', +) which contains the identity and is closed under multiplication. For example, the ring Z of integers is a subring of the field (mathematics) of real numbers and also a subring of the ring of polynomials Z[''X'']. The ring Z has subrings of the form nZ, where n is any integer. Every ring has a unique smallest subring, isomorphic to either the integers Z or some cyclic group Z/''n''Z. abstract algebra
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Words begining with Subring:
SubRing
Subring
SubRing
#REDIRECT Subring
Subring
In abstract algebra, a branch of mathematics, a subring is a subset of a ring (algebra), which is itself a ring under the same binary operations. More precisely, given a ring (''R'', +, *), we say that a subset ''S'' of ''R'' is a subring of ''R'' if it is a ring under the restriction of + and * to ''S'', and contains the same unity as ''R''. A subring is just a subgroup of (''R'', +) which contains the identity and is closed under multiplication. For example, the ring Z of integers is a subring of the field (mathematics) of real numbers and also a subring of the ring of polynomials Z[''X'']. The ring Z has subrings of the form nZ, where n is any integer. Every ring has a unique smallest subring, isomorphic to either the integers Z or some cyclic group Z/''n''Z. abstract algebra
See other meanings of words starting from letter:
S
SB | SC | SD | SE | SF | SG | SH | SI | SJ | SK | SL | SM | SN | SO | SP | SR | SS | ST | SU | SW | SX | SY | SZ |Words begining with Subring:
SubRing
Subring
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