Green's relations for substochastic matrices
نویسندگان
چکیده
منابع مشابه
Characteristic Relations for Quantum Matrices
General algebraic properties of the algebras of vector fields over quantum linear groups GLq(N) and SLq(N) are studied. These quantum algebras appears to be quite similar to the classical matrix algebra. In particular, quantum analogues of the characteristic polynomial and characteristic identity are obtained for them. The qanalogues of the Newton relations connecting two different generating s...
متن کاملGreens relations on the partition monoid and several related monoids
We describe Greens relations on the partition monoid, two of its submonoids, and the related Jones and Brauer monoids. Key Words: partition monoid, Jones monoid, ideal structure 2000 Mathematics Subject Classi cation: 20M20 1 The partition monoid and some submonoids The elements of the partition monoid Pn [5, 8, 9] are equivalence classes of graphs on a vertex set n [ n0 = f1; 2; :::ng [ f10; ...
متن کاملRevisiting Weak Simulation for Substochastic Markov Chains
The spectrum of branching-time relations for probabilistic systems has been investigated thoroughly by Baier, Hermanns, Katoen and Wolf (2003, 2005), including weak simulation for systems involving substochastic distributions. Weak simulation was proven to be sound w. r. t. the liveness fragment of the logic PCTL\X , and its completeness was conjectured. We revisit this result and show that sou...
متن کاملSome recurrence relations for binary sequence matrices
This note compares and contrasts some properties of binary sequences with matrices and associated recurrence relations in order to stimulate some enrichment exercises and pattern puzzles.
متن کاملDecompositions of Substochastic Transition Functions
Three decompositions of a substochastic transition function are shown to yield substochastic parts. These are the Lebesgue decomposition with respect to a finite measure, the decomposition into completely atomic and continuous parts, and on Rn, a decomposition giving a part with continuous distribution function and a part with discontinuous distribution function. Introduction. The present paper...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1986
ISSN: 0024-3795
DOI: 10.1016/0024-3795(86)90276-4