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On Skew Power-serieswise nil-Armendariz Rings被引量：1
《Chinese Quarterly Journal of Mathematics》2013年第3期383-389,共7页ZHANG Wan-ru PU Zhao-nian 
For a ring endomorphism α, in this paper we introduce the notion of s-power- serieswise nil-Armendariz rings, which are a generalization of α-power-serieswise Armendariz rings. A number of properties of this general...
关键词：nil-Armendariz rings skew power series ring nilpotent elements 
Noetherian Skew Group Rings of F.C Groups
《Chinese Quarterly Journal of Mathematics》2006年第3期338-341,共4页HU Chang-liu WANG Jian-ping 
Supported by the NSF of Educational Department of Henan Province(20025100003)
Let R ＊θ G be the skew group ring with a F.C group G and the group homomrphism 8 from G to Aut（R）, the group of automorphisms of the ring R. In this paper,the necessary and sufficient condition such that R ＊θ G ...
关键词：skew group ring Noetherian ring F.C group. 
The General and Centro(Kewsy) Symmetric Solutions to a System of Matrix Equations over an Arbitrary Skew Field被引量：3
《Chinese Quarterly Journal of Mathematics》2006年第1期66-70,共5页QIN Jian-guo SONG Guang-ai 
Supported by the National Natural Science Foundation of China(10471085)
Necessary and sufficient conditions are given for the existence of the general solution, the centrosymmetric solution, and the centroskewsymmetric solution to a system of linear matrix equations over an arbitrary skew...
关键词：system of matrix equations inner inverse of a matrix reflexive inverse of a matrix centro （skew） symmetric matrix skew field 
On the Centrosymmetric and Centroskewsymmetric Solutions to a Matrix Equation over a Central Algebra被引量：2
《Chinese Quarterly Journal of Mathematics》2003年第2期111-116,共6页WANGQing-wen SUNJian-hua LIShang-zhi 
Supported by the Natural Science Foundation of China(10071078);Supported by the Natural Science Foundation of Shandong Province(Q99A08)
Let Ω be a finite dimensional central algebra and chart Ω≠2 .The matrix equation AXB-CXD=E over Ω is considered.Necessary and sufficient conditions for the existence of centro(skew)symmetric solutions of the matri...
关键词：central algebra matrix equation centro( skew) symmetric matrix regular matrix quadruple 
Minor Self-conjugate and Skewpositive Semidefinite Solutions to a System of Matrix Equations over Skew Fields
《Chinese Quarterly Journal of Mathematics》2001年第2期86-90,共5页姜学波 
Minor self conjugate (msc) and skewpositive semidefinite (ssd) solutions to the system of matrix equations over skew fields [A mn X nn =A mn ,B sn X nn =O sn ] are considered. Necessary and su...
关键词：minor self  conjugate matrix skewpositive semidefinite matrix system of matrix equations skew field the real quatrnion field 
The Matrix Equation A_(mn)X_(ns)B_(st)=Cover an Arbitrary Skew Field
《Chinese Quarterly Journal of Mathematics》1998年第3期95-101, ,共7页林春艳 晏曾申 
.NULL.
The matrix equation A mn X ns B st =C over an arbitrary skew field is considered. A necessary and sufficient condition for the consistency and the expression for general solutions of the above mentioned matrix equatio...
关键词：skew field matrix equation commutative matrix. 
A　Necessary　and　Sufficient　Condition　for　Solvability　of　the　Matrix　Equation　AXB＋CYD＝E　Over　an　Arbitrary　Skew　Field
《Chinese Quarterly Journal of Mathematics》1996年第4期81-83, ,共3页黄克明 
A necessary and sufficient condition for the consisteney of the matrix equation AXB+CYD=E over an arbitrary skew field is given. Thus Roth's equivalence theorem is generalized.
关键词：skew field matrix equation rank 
The　Metapositive　Definite　Self－Conjugate　Solution　of　the　Matrix　Equation　AXB＝C　over　a　Skew　Field被引量：3
《Chinese Quarterly Journal of Mathematics》1995年第3期42-51,共10页王卿文 
Let F be the strong p-division ring [4]. This paper is sequel to [1]. Metapositive definite self-conjugate matrix over F is defined and the necessary and sufficient conditions for determining whether a partitioned mat...
关键词：the strong p-division ring matrix equation metapositive definite self-coniugate matrix 
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