Results 201 to 210 of about 4,202,174 (239)
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Information Sciences, 1996
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Jizhong Shen
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jizhong Shen
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CONJUGACY IN FREE INVERSE MONOIDS
International Journal of Algebra and Computation, 1993We give the equation xz=zy in free inverse monoids the best possible solution by showing, with a technical restriction, that whenever x and y satisfy such an equation for some z, then there exists a finite chain of words, starting in x and ending in y, for which two consecutive words are of the form uv and vu.
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International Journal of Algebra and Computation, 2009
We show that the free weakly E-ample monoid on a set X is a full submonoid of the free inverse monoid FIM(X) on X. Consequently, it is ample, and so coincides with both the free weakly ample and the free ample monoid FAM(X) on X. We introduce the notion of a semidirect product Y*T of a monoid T acting doubly on a semilattice Y with identity.
John Fountain +2 more
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We show that the free weakly E-ample monoid on a set X is a full submonoid of the free inverse monoid FIM(X) on X. Consequently, it is ample, and so coincides with both the free weakly ample and the free ample monoid FAM(X) on X. We introduce the notion of a semidirect product Y*T of a monoid T acting doubly on a semilattice Y with identity.
John Fountain +2 more
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States and the free orthogonality monoid
Mathematical Systems Theory, 1972Let (X, #) be an orthogonality space such that the lattice C(X, #) of closed subsets of (X, #) is orthomodular and let (Γ, ⊥) denote the free orthogonality monoid over (X, #). Let C0(Γ, ⊥) be the subset of C(Γ, ⊥), consisting of all closures of bounded orthogonal sets.
C. H. Randall, David J. Foulis
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Positive theories of free monoids
Algebra and Logic, 1993We denote by \({\mathfrak M}_n\) the free monoid of rank \(n\), and \(a_i\) \((1 \leq i \leq n)\) are its free generators as well as the signature symbols interpreted by these generators. Theorem. Free monoids \({\mathfrak M}_n\) and \({\mathfrak M}_m\) \((2 \leq n < m \leq \omega)\) in the signature \(\langle \cdot, ^{-1}, 1, a_1, \dots, a_k\rangle ...
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A palindromization map on free monoids
Proceedings of the Steklov Institute of Mathematics, 2011This paper is a survey of several results of combinatorial nature which have been obtained starting from a palindromization map on a free monoid A* introduced by the author in 1997 in the case of a binary alphabet and, successively, generalized by other authors for arbitrary finite alphabets.
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A Syntactic Approach to the MacNeille Completion of Λ∗, the Free Monoid Over an Ordered Alphabet Λ
Order, 2018H. Bandelt, M. Pouzet
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Parametrization of the solutions of the equation x1x2 … xn−1xn = xnxn−1 … x2x2 in a free monoid
, 2011G. Makanin
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Limited subsets of a free monoid
19th Annual Symposium on Foundations of Computer Science (sfcs 1978), 1978Imre Simon
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