INVOLUTION

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A new construction for involutions over finite fields
《Frontiers of Mathematics in China》2022年第4期553-565,共13页Zhaohui ZHANG Qunying LIAO 
supported by the Notional Natural Science Foundation of China(Grant No.12071321).
In 2020,Niu et al.[Cryptogr.Commun.,2020,12(2):165–185]studied the fixed points of involutions over the finite field with q-elements.This paper further discusses the relationship between the fixed points set and the ...
关键词：Permutation polynomial INVOLUTION fixed point non-fixed point 
The(b,c)-inverse in semigroups and rings with involution被引量：1
《Frontiers of Mathematics in China》2020年第6期1089-1104,共16页Xiaofeng CHEN Jianlong 
supported by the National Natural Science Foundation of China(Grant Nos.11771076,11871145);the Fundamental Research Funds for the Central Universities;the Postgraduate Research&:Practice Innovation Program of Jiangsu Province(No.KYCX19-0055).
We first prove that if a is both left(6,c)-invertible and left(c,b)-invertible,then a is both(6,c)-invertible and(c,6)-invertible in a*-monoid,which generalizes the recent result about the inverse along an element by ...
关键词：(6 c)-inverse inverse along an element core inverse EP element 
Proper ties of core-EP order in rings with involution
《Frontiers of Mathematics in China》2019年第4期715-736,共22页Gregor DOLINAR Bojan KUZMA Janko MAROVT Burcu UNGOR 
We study properties of a relation in *-rings, called the core-EP (pre)order which was introduced by H. Wang on the set of all n × n complex matrices [Linear Algebra Appl., 2016, 508: 289-300] and has been recently ge...
关键词：DRAZIN INVERSE core-EP decomposition pre-order ring 
New characterizations for core inverses in rings with involution被引量：10
《Frontiers of Mathematics in China》2017年第1期231-246,共16页Sanzhang XU Jianlong CHEN Xiaoxiang ZHANG 
This work was supported by the National Natural Science Foundation of China(Grant Nos.11201063,11371089);the Specialized Research Fund for the Doctoral Program of Higher Education(No.20120092110020);the Jiangsu Planned Projects for Postdoctoral Research Funds(No.1501048B);the Natural Science Foundation of Jiangsu Province(No.BK20141327).
The core inverse for a complex matrix was introduced by O.M.Baksalary and G.Trenkler.D.S.Rakic,N.C.Dincic and D.S.Djordjevc generalized the core inverse of a complex matrix to the case of an element in a ring.They als...
关键词：Core inverse dual core inverse group inverse {1 3}-inverse inverse{1 4}-inverse 
Free involutive Hom-semigroups and Hom-associative algebras被引量：3
《Frontiers of Mathematics in China》2016年第2期497-508,共12页Shanghua ZHENG Li GUO 
This work was supported by the National Natural Science Foundation of China （Grant No. 11371178） and the National Science Foundation of US （Grant No. DMS 1001855）.
We construct free Hom-semigroups when its unary operation is multiplicative and is an involution. Our method of construction is by bracketed words. As a consequence , we obtain free Horn-associative algebras generated...
关键词：Hom-semigroup Horn-algebra INVOLUTION free object bracketedwords 
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