冪零環 的英文怎麼說
中文拼音 [mìlínghuán]
冪零環
英文
nilpotent ring-
On idempotent and nilpotent matrices over commutative rings
關于交換環上的冪等陣與冪零陣Theorem 2. 4 let g be a non - abelian inner - finite group, each non - trivial proper subgroup of g is prime order cyclic group if and only if g is a simple group ; each proper subgroup of g is nilpotent ; and each non - trivial subgroup of g is self - normalizer
4設g是非阿貝爾的內有限群，則g的每個非平凡真子群都是素數階循環群的充分必要條件是g是單群， g的每個真子群冪零且g的每個非平凡的真子群自正規化定理2Also, by the means of the pattern of matrix and the pattern of linear operator, we characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility over antinegative commutative semirings without zero divisors
另外，利用矩陣模式和運算元模式等工具，我們在非負無零因子半環上刻畫了強保持冪零的線性運算元和強保持可逆的線性運算元Characterization of graded prime radical of graded gamma ring
半環上的冪零理想Suppose that ( x ) is contain in v ( g ) for every element x of n with prime order, and suppose that ( y ) is semi - normal or c - normal in g for every element y of n with order 4, then g is nilpotent
若n之極小子群含于v （ g ） ，且2 ~ 2階循環子群在g中或半正規或c -正規，則g是冪零群The construction of least radical without nilpotent element of ring
環的最小無冪零元根的構造In this paper, we shall characterize the linear operators that strongly preserve nilpotent matrices and that strongly preserve invertible matrices over boolean algebras and antinegative semirings without zero divisors
本文將刻畫在布爾代數和非負無零因子半環上強保持冪零矩陣和可逆矩陣的線性運算元Theorem 1. 2. 5 a semiring s is a normal a - idempotent semiring, if and only if s is a strong right normal idempotent semiring of left zero idempotent semirings
5半環s是正規a -冪等半環，當且僅當s是左零冪等半環的強右正規冪等半環。定理1Theorem 2. 2. 4 a semiring s is an additive normal c - idempotent semiring, if and only if s is a pseudo - strong right normal idempotent semiring of left zero semirings
4s是加法正規c一冪等半環，當且僅當s是左零半環的偽強右正規冪等半環定理2Theorem 3. 3 s is a " d - idempotent semiring, then s is an additive normal idempotent semiring, if and only if s is a pseudo - strong right normal idempotent semiring of left zero semirings
3s是d一冪等半環，則s為加法正規冪等半環，當且僅當s是左零半環的偽強右正規冪等半環And by this we have the structure of the normal idempotent semiring which satisfies the identity ab + b = a + b arises as a strong right normal idempotent semiring of left zero idempotent semirings, and some corollaries
利用這一結構證明了滿足等式ab + b = a + b的正規冪等半環是左零冪等半環的強右正規冪等半環，及相關推論。And in the last chapter, we also have the idempotent semiring which satisfies the identity a + ab + a = a + b is an additive normal idempotent semiring, if and only if it is a pseudo - strong right normal idempotent semiring of left zero semirings, and other corollaries
第三章，證明了滿足等式a + ab + a = a + b的冪等半環是加法正規的，當且僅當它是左零半環的偽強右正規冪等半環，及相關推論。In the second chapter, we give the definition of the pseudo - strong right normal idem - potent semiring of v ? semirings. and we have the additive normal idempotent semiring which satisfies the identity a + ab = a + b arises as a pseudo - strong right normal idempotent semiring of left zero semirings
第二章，與第一章平行地構造了v -半環的偽強右正規冪等半環，由這一結構證明了滿足等式a + ab = a + b的加法正規冪等半環是左零半環的偽強右正規冪等半環。Maximal nilpotent subgroups of linear groups over finite commutative rings
有限交換環上線性群的極大冪零子群In section 2. 2, we prove that if the set of arrows in a quiver is not empty, then nq is not semisimple. we construct the nonsovable subalgebra of nq when there is no less than one circle whose length is bigger than one, and there is no loop in quiver q, thus leads to a conclusion that nq is nonsovable. using the index arrays to discuss the operation of necklace word. construct a sovable subalgebra of nq, which is not nilpotent. this shows that nq is not nilpotent provided that there is a cyclic with length bigger than 1
當箭圖中有長度大於1的循環，且無圈時，構造了n _ q的非可解子代數，從而證明了n _ q是不可解李代數。我們還利用指標數組討論了項鏈字的運算，構造了n _ q的可解非冪零子代數，從而證明了當箭圖中有長度大於1的循環時，項鏈李代數非冪零。在2The nilpotent properties of graded - rings
環的冪零性分享友人