نتایج جستجو برای: maximal ideal
تعداد نتایج: 172629 فیلتر نتایج به سال:
Journal:
:Proceedings of the American Mathematical Society
1978
Journal:
:Bulletin of the American Mathematical Society
1975
Journal:
:Transactions of the American Mathematical Society
1971
2006
Samuel Otten
Certainly 0R ∈ A. Let a, b ∈ A. Then a ∈ An and b ∈ Am for some n,m ∈ N. Without loss of generality, assume n ≤ m. This means An ⊆ Am. So we have a, b ∈ Am. Since Am is a subring, it follows that −a ∈ Am, a + b ∈ Am, and ab ∈ Am. So also −a ∈ A, a + b ∈ A and ab ∈ A. This means A is closed under additive inverses, addition, and multiplication, so A is a subring of R. Let r ∈ R. Since An is an i...
Journal:
:Operators and Matrices
2010
Journal:
:Journal of the Mathematical Society of Japan
2014
Journal:
:Kyungpook mathematical journal
2014
Journal:
:Journal of Algebra
2021
Journal:
:Kodai Mathematical Journal
1954
Journal:
:Communications in Mathematical Physics
2005
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