正則環 的英文怎麼說
中文拼音 [zhēngzéhuán]
正則環
英文
regular ring-
On the structure of the gr - abelian regular rings
正則環的結構3 ) if r is a left sf - ring whose every special left annihilator is w - ideal, then r is a strongly regular ring
3 )如果r是左sf -環且r的每個特殊左零化子是w -理想,則r是強正則環。2 ) let r is a semiprime ring, if r is a left sf - ring whose every special right annihilator is w - ideal, then r is a strongly regular ring
2 )設r是半素環,如果r是左sf -環且r的每個特殊右零化子是w -理想,則r是強正則環。In the fourth chapter, we study the strong regularity of left sf - rings whose every nonzero one - sided ideal contains nonzero weak ideal and every special annihilator is weak ideal, and we prove the following results : l ) strong left ( right ) weakly bounded left sf - rings are strongly regular rings
第四章,主要研究每個非零的單邊理想包含非零的弱理想的左sf -環以及每個特殊零化子是弱理想的左sf -環的強正則性。證明了: 1 )強左(右)弱有界的左sf -環是強正則環。Congruences on some quasi - completely regular semirings
某些擬完全正則半環上的同余The first chapter, main instead " duo - ring " condition of " every maximal left ideal is gw - ideal " condition, study strongly regularities of gp - v - ring on this condition. lt is shown that ( 1 ) r is strongly regular iff r is left gp - v - ring whose maximal left ideals are gw - ideal. ( 2 ) r is strongly regular iff r is left gp - v - ring whose maximal right ideals are gw - ideal. the second chapter, generalize some results of gp - v - ring to gp - v - ring, discuss regularity of gp - v ' - ring. it is shown that ( 1 ) r is left self - injective regular with non - zero socle iff r is left gp - v - ring with soc ( rr ) = soc ( rr ) and r contains an injective maximal left ideal
第一章主要將「 duo -環」條件替換成「每一極大左(右)理想是gw -理想」條件,研究在此條件下, gp - v -環的強正則性,證明了: ( 1 ) r是強正則環當且僅當r是左gp - v -環且r的每一極大左理想是廣義弱理想; ( 2 ) r是強正則環當且僅當r是左gp - v -環且r的每一極大右理想是廣義弱理想,第二章,主要將gp - v -環上一些結果推廣到gp - v -環上,討論gp - v -環的正則性,證明了: ( 1 ) r是左自內射正則環且soc ( _ rr ) 0當且僅當r是包含內射極大左理想的gp - v -環,且soc ( _ rr ) = soc ( r _ r ) ; ( 2 ) r是正則環且每一極大本質左理想是理想當且僅當r是左gp -內射的左gp - v -環且每一極大本質左理想是理想。On weakly unit - regular rings and strongly stable rings
關於弱幺正則環和強穩定環Some properties on group - graded weakly regular rings
群分次弱正則環的若干性質On yj - injective modules and characteristic properties of strongly regular rings
內射模與強正則環的刻畫In the second section, we structure a kind of semirings, namely semidirect product of semirings, and prove an isomorphic theorem of semidirect products. in the third section, we give the characterizations of the relations of all kinds of regular semirings and introduce the concept of pseudo - inverse and the necessary and sufficient conditions of pseudo - invertible element. in the fourth section, we define an equivalence relation on the cartersian product of commutative semiring and its multiplicative subset
第二部分,先構造一類半環,半環半直積,然後證明半直積的同構定理第三部分,刻劃了半環各類正則元之間關系,引入偽逆的定義,給出了可偽逆元素的充要條件第四部分,在交換半環和乘法集的卡氏積上定義等價關系,進而構造了一類交換半環:分式半環In chip synthesis and verification, component maching and verificaion are basic links. it is a crucial issue to establish a unified canonical description form for different design levels with low complexity
在晶元的綜合和驗證中,部件的匹配和功能驗證是一個基本環節,能以較低的復雜度建立不同設計層次中統一的正則描述形式是一個關鍵的問題。In the second section, we give all the ring congruences on a commutative regular semiring s and show that from the lattice of all full, closed, ideal subsemirings of s to the lattice of all the ring conruences on 5, there is a lattice isomorphism
首先給出一個交換正則半環上的所有環同余,證明了此半環的所有滿的、閉的、理想子半環所形成的格與此半環的環同余格同構。Let s be a orthdox semiring, b is regular kernal normal system of s, then there is unique congruence p on s such as the regular kernal normal system of p on ( s, + ) is, and p =. conversely, if p is a congruence on s, then the regular kernal normal system of p on ( s, + ) the regular kernal normal system of
設s猢正半環; b是s的正則核正規系,則存在s上卜的毗八脯廠在民十)上的正則核正規系為b ,且p p各反之如果屍為s上的觸,則屍在歷, )上的正則核正規系是口, , ? )的正則核正規系且屍p卜On the property of graded quasi - regular rings
關于分次擬正則環的性質Some characterizations of strongly regular rings
強正則環的若干刻劃Some equivalent conditions on regular rings
正則環的幾個等價條件On the projective radicals of regular rings
正則環的投射根Gp - injective rings and strongly regular rings
強正則環Ap - injective rings and regular rings
內射環與正則環In chapter 2. we discuss some properties of gpp - ring and the relations between gpp - ring and - regular ring
在第二章中,我們主要討論了gpp環與-正則環的關系,並討論了gpp環的一些性質。分享友人