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Sep
24
awarded  Autobiographer
Oct
30
awarded  Yearling
Sep
21
comment Show that ideal is a subring
Unitary rings are the rule in the Bourbaki schol not necessarily by most algebraists.
Aug
16
awarded  Informed
Jul
8
asked double coset question
Jun
2
answered Every principal ideal domain satisfies ACCP.
May
20
answered Why demonstrations are important in mathematics?
Apr
30
answered Ideal generated by a set in a commutative ring without unity
Apr
30
answered Are Clifford groups very *non-commutative*?
Apr
12
answered Why aren't logarithms defined for negative $x$?
Apr
11
answered Cartesian Product in mathematics
Apr
10
revised Proof with inequalities
minor change due to typo
Apr
10
answered $(A\times B)\cup C$ equals?
Apr
10
answered Proof with inequalities
Apr
9
answered Is there any difference between the definition of a commutative ring and field?
Apr
5
comment What algebraic structure is the set of natural numbers and addition?
Wikipedia adopts the Bourbaki definition of a ring that includes a multiplicative identity.
Apr
4
answered Why don't we study algebraic objects with more than two operations?
Apr
1
answered Homomorphisms and isomorphisms
Mar
28
comment Can we really understand $R$ by studying $R$-modules?
The ring R may be considered as a right or left R module over itself and various module theorems may be used. However if you wish to apply various radicals such as the Jacobson radical or prime radical you need to use ring theory.
Mar
24
answered Should the domain of a function be inferred?