In ring theory, a branch of mathematics, an idempotent element or simply idempotent of a ring is an element a such that a2 = a. That is, the element is ... |
Let R be a ring. We say that R is idempotent if every ideal of. R is generated by an idempotent element. Lemma 2.2. Every idempotent ring is Artinian ring. |
| идемпотентный элемент |  |
В теории колец, разделе математики, идемпотентном элементе или просто идемпотенте кольца называется такой элемент a, что a² = a. То есть элемент идемпотент относительно умножения кольца. Тогда по индукции можно также заключить, что a = a² = a³ =... Википедия (Английский язык)
16 июн. 2011 г. · The number of idempotent elements in Z_n is 2^(omega(n)) where omega(n) is the number of distinct prime factors of n. Intuition for idempotents, orthogonal idempotents? Primitive Central Idempotent - Mathematics Stack Exchange Другие результаты с сайта math.stackexchange.com |
30 мар. 2019 г. · Theorem. Let (R,+,∘) be an idempotent ring. Denote with 0R the zero of R. Then (R,+,∘) is a commutative ring. |
22 мар. 2013 г. · It is well-known that if e∈R e ∈ R is an idempotent, then eRe e R e has the structure of a ring with unity, with e e being the unity. |
20 мая 2023 г. · If R R is a commutative * * -ring, then we may restrict to the self-adjoint idempotent elements to get the Boolean algebra Proj ( R ) Proj(R) . |
2 мар. 2015 г. · Let R be a general ring, not necessarily commutative. An element x∈R is said to be idempotent if x2 = x. |
11 мая 2023 г. · An element r in a ring R is clean if r is a sum of a unit and an idempotent. Camille and Yu showed that unit regular rings are clean and in a ... |
16 нояб. 2023 г. · A set A equipped with binary operations ⊕ (addition) and ⊙ (multiplication) and neutral elements 0 and 1 is called an idempotent semi-ring. |
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