Results 111 to 120 of about 230,290 (221)
, 2009 Pseudo MV-algebras (see e.g., [4, 6, 8]) are non-commutative extension of MV-algebras. We show that every pseudo MV-algebra is isomorphic to the algebra of action functions where the binary operation is function composition, zero is x ∧ y and unit is x ...
Chajda, Ivan, Kolařík, Miroslav
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A Representation Theorem for MV-algebras [PDF]
Soft Computing, 2006 An {\em MV-pair} is a pair $(B,G)$ where $B$ is a Boolean algebra and $G$ is a subgroup of the automorphism group of $B$ satisfying certain conditions. Let $\sim_G$ be the equivalence relation on $B$ naturally associated with $G$. We prove that for every MV-pair $(B,G)$, the effect algebra $B/\sim_G$ is an MV- effect algebra.
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Automorphism groups of P1$\mathbb {P}^1$‐bundles over geometrically ruled surfaces
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We classify the pairs (X,π)$(X,\pi)$, where π:X→S$\pi \colon X\rightarrow S$ is a P1$\mathbb {P}^1$‐bundle over a non‐rational geometrically ruled surface S$S$ and Aut∘(X)$\mathrm{Aut}^\circ (X)$ is relatively maximal, that is, maximal with respect to the inclusion in the group Bir(X/S)$\mathrm{Bir}(X/S)$.
Pascal Fong
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Representation theory of MV-algebras
Annals of Pure and Applied Logic, 2010 35 ...
Eduardo J. Dubuc, Yuri A. Poveda
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Reconstructing Classical Algebras via Ternary Operations
MathematicsAlthough algebraic structures are frequently analyzed using unary and binary operations, they can also be effectively defined and unified using ternary operations.
Jorge P. Fatelo, Nelson Martins-Ferreira
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Almost nilpotent Lie algebras [PDF]
, 1987 Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of ...
Towers, David
core
A Cantor-Bernstein theorem for $\sigma$-complete MV-algebras
, 2003 summary:The Cantor-Bernstein theorem was extended to $\sigma $-complete boolean algebras by Sikorski and Tarski. Chang’s MV-algebras are a nontrivial generalization of boolean algebras: they stand to the infinite-valued calculus of Łukasiewicz as boolean
de Simone, A. +5 more
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Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality
, 2013 We study representations of MV-algebras -- equivalently, unital lattice-ordered abelian groups -- through the lens of Stone-Priestley duality, using canonical extensions as an essential tool.
Van Gool, Samuel Jacob +8 more
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Lexicographic pseudo MV-algebras
Journal of Applied Logic, 2015 A lexicographic pseudo MV-algebra is an algebra that is isomorphic to an interval in the lexicographic product of a linear unital group with an arbitrary $\ell$-group. We present conditions when a pseudo MV-algebra is lexicographic. We show that a key condition is the existence of a lexicographic ideal, or equivalently, a case when the algebra can be ...
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A Note on the Trace of Generalized Permuting Tri-Derivations
Cumhuriyet Science JournalMany researchers have studied permuting tri-derivation and generalized derivation in prime or semi-prime rings, BCK-algebras, lattices, d-algebras, MV-algebras and many algebraic structures. Later, they introduced the concept of generalized permuting tri-
Süleyman Zortaş, Hasret Yazarlı
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