Results 21 to 30 of about 246,696 (68)
Intuitionistic Fuzzy Subbialgebras and Duality
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We investigate connections between bialgebras and Atanassov’s intuitionistic fuzzy sets. Firstly we define an intuitionistic fuzzy subbialgebra of a bialgebra with an intuitionistic fuzzy subalgebra structure and also with an intuitionistic fuzzy subcoalgebra structure.
Wenjuan Chen +2 more
wiley +1 more source
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
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Structure theorems for braided Hopf algebras
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
wiley +1 more source
Semientwining Structures and Their Applications
International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013 Semientwining structures are proposed as concepts simpler than entwining structures, yet they are shown to have interesting applications in constructing intertwining operators and braided algebras, lifting functors, finding solutions for Yang‐Baxter systems, and so forth.
Florin F. Nichita +5 more
wiley +1 more source
The Dual of Generalized Fuzzy Subspaces
Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012 We define the dual of generalized fuzzy subspaces first. These concepts generalize the dual of fuzzy subspaces. And then we investigate the double dual of generalized fuzzy subspaces.
Wenjuan Chen +2 more
wiley +1 more source
Quantum Groupoids Acting on Semiprime Algebras
Advances in Mathematical Physics, Volume 2011, Issue 1, 2011., 2011 Following Linchenko and Montgomery′s arguments we show that the smash product of an involutive weak Hopf algebra and a semiprime module algebra, satisfying a polynomial identity, is semiprime.
Inês Borges +2 more
wiley +1 more source
A Comparison of Deformations and Geometric Study of Varieties of Associative Algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2007, Issue 1, 2007., 2007 The aim of this paper is to give an overview and to compare the different deformation theories of algebraic structures. In each case we describe the corresponding notions of degeneration and rigidity. We illustrate these notions by examples and give some general properties.
Abdenacer Makhlouf, Howard E. Bell
wiley +1 more source
C-Ideals of Lie Algebras. [PDF]
, 2009 A subalgebra B of a Lie algebra L is called a c-ideal of L if there is an ideal C of L such that L = B + C and B \cap C \leq B_L, where B_L is the largest ideal of L contained in B.
Towers, David A.
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Automorphic Lie algebras with dihedral symmetry [PDF]
, 2014 The concept of automorphic Lie algebras arises in the context of reduction groups introduced in the early 1980s in the field of integrable systems.
Sanders, Jan +10 more
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Hom-Lie admissible Hom-coalgebras and Hom-Hopf algebras
, 2009 The aim of this paper is to develop the coalgebra counterpart of the notions introduced by the authors in a previous paper, we introduce the notions of Hom-coalgebra, Hom-coassociative coalgebra and G-Hom-coalgebra for any subgroup G of permutation group
Silvestrov, Sergei,, Makhlouf, Abdenacer
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