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关于广义分配伪格 被引量:2

On generalized distributive pseudo-lattices
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摘要 引入广义分配伪格的概念,讨论并证明了分别当乘法零元、加法恒等元、零元、左单位元、右单位元、单位元存在时广义分配伪格的一些性质;进而表明广义分配伪格是分配伪格、坡代数、分配格的自然推广. The introduction of the concept of generalized distributive pseudo-lattices.When the multiplicative zero element、 additive identity element、 zero element、 left(right) identity element、 unit element exists,some properties of generalized distributive pseudo-lattices are discussed and proved.Furthermore,show that the generalized distribution pseudo-lattices are natural extension of distributive pseudo-lattices,incline algebras,distributive lattices.
作者 张国勇
出处 《福州大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第6期789-792,共4页 Journal of Fuzhou University(Natural Science Edition)
基金 福建省自然科学基金资助项目(2008J0186)
关键词 广义分配伪格 偏序 坡代数 generalized distributive pseudo-lattices incline partial order
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参考文献6

  • 1Dietrich B L, Hoffman A J. On greedy algorithms, partially ordered sets, and submodular functions[J]. IBM Journal of Research and Development, 2003 (47) : 25 - 30.
  • 2Faigle U, Peis B. Note on pseudolattices, lattices and submodular linear programs [ J ]. Discrete Optimization, 2008, 5 (2) :489 - 500.
  • 3Cao Z Q, Kim K H, Roush F W, Incline algebra and applications[ M]. New York: John Wiley, 1984.
  • 4Han S C, Li H X, Inverfible incline matrices and Cramer's rule over inclines[J]. Linear Algebra Appl, 2004(389) :121 - 138.
  • 5谷敏强,李洪兴.坡矩阵的广义逆(Ⅰ)[J].北京师范大学学报(自然科学版),2006,42(5):463-466. 被引量:12
  • 6张国勇.分配伪格上的可逆矩阵(英文)[J].工程数学学报,2009,26(5):797-805. 被引量:4

二级参考文献7

  • 1Song Chol HAN,Hong Xing LI.Some Conditions for Matrices over an Incline To Be Invertible and General Linear Group on an Incline[J].Acta Mathematica Sinica,English Series,2005,21(5):1093-1098. 被引量:1
  • 2Luce R D. A note on Boolean matrix theory[J]. Proc Amer Math Soc, 1952, 3(3): 382-388.
  • 3Zhao Y. Inverse of L-fuzzy matrices[J]. Fuzzy Sets and Systems, 1990, 34(1): 103-117.
  • 4Give'on Y. Lattice matrices[J]. Information and Control, 1964, 7:477-484.
  • 5Zhao C K. Inverses of L-fuzzy matrices[J]. Fuzzy Sets and Systems, 1990, 34:103-116.
  • 6Zhao C K. Invertible conditions for a matrix over distributive lattice[J]. Acta Sci Natur Univ Neimonggol, 1991, 22(4): 477-480.
  • 7Han S C, Li H X. Invertible incline matrices and Cramer's rule over inclines[J]. Linear Algebra and its Applications, 2004, 389:121-138.

共引文献13

同被引文献6

  • 1谷敏强,李洪兴.坡矩阵的广义逆(Ⅰ)[J].北京师范大学学报(自然科学版),2006,42(5):463-466. 被引量:12
  • 2Cao Z Q,Kim K H,Roush F W. Incline Algebra and Applications [M]. New York:John Wiley, 1984.
  • 3Ulrich Faigle,Britta Peis. Note on pseudolattices,lattices and submodular linear programs [J]. Discrete Optimization, 2008,5(2) :489-500.
  • 4Dietrich B L, Hofman A J. On greedy algorithms, partially ordered sets,and submodular functions [J]. IBM J Res Dev,2003(47) : 25-30.
  • 5Ulrich Faigle, Britta Peis. Note on pseudolattices, lattices and submodular linear programs[J]. Discrete Optimization, 2008,5 (2) :489-500.
  • 6张国勇.分配伪格上的可逆矩阵(英文)[J].工程数学学报,2009,26(5):797-805. 被引量:4

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