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- Let D_(l+1)(R) be the orthogonal Lie algebra over a commutative ring R with 2 invertible and m_1 an l+ 1 upper triangular matrix. 設D_(l+1)(R)表示2為單位交換環(huán)R上的2(l+1)階正交李代數。 若記m_1是R上的l+1階三角矩陣，而是D_(l+1)(R)可解子代數。
- A commutative ring with unity having no proper divisors of zero, that is, where the product of nonzero elements cannot be zero. 整環(huán)，整域：一個(gè)單位元素都不是零的真約數，即，非零元素的乘積不為零的交換環(huán)
- Let R be a commutative ring without zero-divisor,R is called a quasi-valuation ring,if it contains a non-zero element a such that any non-zero element of R divides a power of a. 一個(gè)無(wú)零因子的交換環(huán)R稱(chēng)為擬賦值環(huán),如果R中有一個(gè)非零元素a,使得R的任意非零元都整除a的某個(gè)方冪。
- The fundamental theorem of arithmetic is an important and basic theorem of theory of number and plays an important role in modern commutative ring theory. 算術(shù)基本定理是初等數論中一條非?；竞椭匾亩ɡ?它所體現的唯一因子分解的思想,在現代交換環(huán)理論中起著(zhù)非常重要的作用。
- See invertible matrix for more.More generally, a square matrix over a commutative ring R is invertible if and only if its determinant is invertible in R. 更一般地，一元素在一可交換環(huán)R內的方陣是可逆的若且唯若其行列式在R是可逆的。
- She had the sapphire set in a gold ring. 她把那枚藍寶石鑲在金戒指上了。
- The diamond ring dazzled with brilliancy. 這只鉆石戒指閃耀奪目。
- L_Z associated with finite-dimensional simpleLie algebras and affine Lie algebras of type k =1 over a commutative ring withidentity were defined by J. Hurley in 1969 and 1981 respectively, and theirideal structures were worked out there. Hurley在1969年與1981年分別對有限維復單李代數及k=1的仿射李代數L研究了相應的Chevalley代數L_R=RL_z的理想結構。
- She wears a diamond ring on her left hand. 她左手上戴著(zhù)一枚鉆石戒指。
- Our family reunions are always three ring circus. 我家合家團聚的場(chǎng)面總是熱鬧非凡。
- I am sorry-she's out. Can you ring again later? 對不起－她出去了。你過(guò)些時(shí)候再打電話(huà)來(lái)好嗎？
- The boys and girls made a ring round us. 男孩和女孩圍著(zhù)我們站了一圈。
- Many people know mathematics, at least they know commutative rings when they are married. 其實(shí)很多人都會(huì )數學(xué)，最少在他們結婚的時(shí)候會(huì )交換戒指。
- Please ring for the attendant if you need anything. 如果需要什么，請按鈴找服務(wù)員。
- In this paper, we study the subalgebra structure of the general linear Lie algebras over commutative rings. 摘要本文研究了含幺可換環(huán)上一般線(xiàn)性李代數的子代數結構。
- The music was so loud it made my ears ring. 音樂(lè )的聲音太大了，把我耳朵震得直響。
- Commutation is distinct from reprieve. 減刑不同于緩刑。
- The policeman felt that my story didn't ring true. 警察認為我講的話(huà)聽(tīng)起來(lái)不可信。
- She wears a ring round her wrist. 她的手腕上戴著(zhù)一只鐲子。
- He appealed for (a) commutation of the death sentence to life imprisonment. 他已上訴請求將死刑減為無(wú)期徒刑。
