Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Qian-Yu Shu"'
Autor:
Zheng Guan, Xiao-Dong Chen, Hao-Chang Mo, Jian-Wei Liu, Qian-Yu Shu, Yuan Cao, Wen-Jie Chen, Jian-Wen Dong
Publikováno v:
APL Photonics, Vol 9, Iss 7, Pp 076116-076116-8 (2024)
Topological boundary modes, which are localized at the edge of topological materials, have received significant attention for their various applications in robust waveguides, optical cavities, and topological lasers. To envision their further applica
Externí odkaz:
https://doaj.org/article/62f9fec6442844d4bea56a01f31270e5
Autor:
Qian-yu Shu, Xue-ping Wang
Publikováno v:
Linear and Multilinear Algebra. 70:6393-6411
In this paper, we first investigate some properties of an orthogonal complement of a subsemimodule and give some necessary and sufficient conditions for every subsemimodule to be equal to the ortho...
Publikováno v:
Linear and Multilinear Algebra. 69:3019-3030
This paper deals with extensions of free sets over commutative semirings. First, we discuss a necessary and sufficient condition that a finitely generated L-semimodule is free, and by the way, we g...
Publikováno v:
International Journal of Approximate Reasoning. 110:127-144
Various generalizations of triangular norms have been proposed, they are monotone binary operations satisfying commutativity or associativity or neutral property. Residual operations derived from these operations over complete lattices have been stud
Autor:
Xue-ping Wang, Qian-yu Shu
Publikováno v:
Linear Algebra and its Applications. 520:125-133
Some conditions that a finite set in an L -semimodule is free are established. This gives an answer to an open problem raised by Tan (2016) in his work [7] .
Autor:
Qian-yu Shu, Xue-ping Wang
Publikováno v:
Linear and Multilinear Algebra. 65:1462-1478
This paper discusses some applications of the bideterminant of a matrix over commutative semirings. It first uses the bideterminant of a matrix to define the McCoy rank of a matrix and gives some necessary and sufficient conditions that the McCoy ran
Autor:
Xue-ping Wang, Qian-yu Shu
Publikováno v:
Linear Algebra and its Applications. 459:83-100
This paper investigates the cardinality of a basis in semilinear spaces of n -dimensional vectors over commutative semirings. It first discusses the cardinality of a basis and gives a necessary and sufficient condition that each basis has the same nu
Autor:
Qian-yu Shu, Xue-ping Wang
Publikováno v:
Soft Computing. 18:729-742
This paper deals with the relationships between the concepts of linear dependence and independence of vectors, and the bideterminant of a matrix including the links between the bideterminant and rank of a square matrix in semilinear spaces of $$n$$ n
Autor:
Xue-ping Wang, Qian-yu Shu
Publikováno v:
Linear and Multilinear Algebra. 62:1475-1490
This paper investigates the dimensional formulas of semilinear subspaces of -dimensional vectors over commutative zerosumfree semirings. It first obtains some necessary and sufficient conditions that a sum of semilinear subspaces is a direct sum, whi
Autor:
Qian-yu Shu, Xue-ping Wang
Publikováno v:
Linear Algebra and its Applications. 437:2733-2754
This paper investigates the standard orthogonal vectors in semilinear spaces of n -dimensional vectors over commutative zerosumfree semirings. First, we discuss some characterizations of standard orthogonal vectors. Then as applications, we obtain so