冪零運算元 的英文怎麼說
中文拼音 [mìlíngyùnsuànyuán]
冪零運算元
英文
nilpotent operator- 冪 : Ⅰ名詞1. [書面語] (覆蓋東西的巾) cloth cover2. [數學] (表示一個數自乘若干次的形式) power Ⅱ動詞[書面語] (覆蓋; 罩) cover with cloth
- 零 : Ⅰ數詞1 (零數) zero2 (數的空位) zero sign (0); nought 3 (表示沒有數量;無) nil; nought 4 (...
- 運 : Ⅰ動詞1 (物體位置不斷變化) move; revolve 2 (搬運; 運輸) carry; transport 3 (運用) use; wield...
- 算 : Ⅰ動詞1 (計算數目) calculate; reckon; compute; figure 2 (計算進去) include; count 3 (謀劃;計...
- 運算 : [數學] operation; arithmetic; operating
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In order to characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility, we first study the case of the binary boolean algebra
為了刻畫強保持冪零的線性運算元和強保持可逆的線性運算元,我們首先研究二元布爾代數上的情況By the means of the extension of linear operator, we characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility over any boolean algebra
再利用線性擴張這一工具,我們刻畫了在一般布爾代數上強保持冪零的線性運算元和強保持可逆的線性運算元Also, 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In chapter 6, we pay our attention to additive rank one nilpotence preservers on b ( h ). as application of this result, we characterise many additive perservers on b ( h )
第六章我們研究了b ( h )上保一秩冪零運算元的可加映射,作為應用我們還對許多可加保持映射進行了刻畫。分享友人