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Magdalena Wojciechowska-Rysiawa (2010)
Discussiones Mathematicae - General Algebra and Applications
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Pseudo BL-algebras are a noncommutative extention of BL-algebras. In this paper we study good pseudo BL-algebras and consider some classes of these algebras.
Galitski, L.Yu., Timashev, D.A. (1999)
Journal of Lie Theory
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Besnard, F. (2001)
Mathematical Physics Electronic Journal [electronic only]
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Cohen, A.M., de Graaf, W.A., Rónyai, L. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Bing Sun, Liangyun Chen (2015)
Open Mathematics
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In this paper, we introduce the definition of restrictable Lie-Rinehart algebras, the concept of restrictability is by far more tractable than that of a restricted Lie-Rinehart algebra. Moreover, we obtain some properties of p-mappings and restrictable Lie-Rinehart algebras. Finally, we give some sufficient conditions for the commutativity of quasi-toral restricted Lie-Rinehart algebras and study how a quasi-toral restricted Lie-Rinehart algebra with zero center and of minimal dimension...
de Graaf, W.A. (2005)
Experimental Mathematics
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R. M. Green (2010)
Commentationes Mathematicae Universitatis Carolinae
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We use categories to recast the combinatorial theory of full heaps, which are certain labelled partially ordered sets that we introduced in previous work. This gives rise to a far simpler set of definitions, which we use to outline a combinatorial construction of the so-called loop algebras associated to affine untwisted Kac--Moody algebras. The finite convex subsets of full heaps are equipped with a statistic called parity, and this naturally gives rise to Kac's asymmetry function....
Paolo Casati (2011)
Banach Center Publications
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In this paper we construct on truncated current Lie algebras integrable hierarchies of partial differential equations, which generalize the Drinfeld-Sokolov hierarchies defined on Kac-Moody Lie algebras.
Agaoka, Y. (1999)
Lobachevskii Journal of Mathematics
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Grzegorz Dymek (2015)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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The notion of normal pseudo-BCI-algebras is studied and some characterizations of it are given. Extensions of pseudo-BCI-algebras are also considered.
Crandall, Gordon, Dodziuk, Jósef (2002)
Journal of Lie Theory
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Ivan P. Shestakov, Efim Zelmanov (2008)
Journal of the European Mathematical Society
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Generalizing Petrogradsky’s construction, we give examples of infinite-dimensional nil Lie algebras of finite Gelfand–Kirillov dimension over any field of positive characteristic.