منابع مشابه
Stone Algebra Extensions with Bounded Dense Set
Stone algebras have been characterized by Chen and Grätzer in terms of triples (B;D;'), whereD is a distributive lattice with 1; B is a Boolean algebra, and ' is a bounded lattice homomorphism from B into the lattice of lters of D: If D is bounded, the construction of these characterizing triples is much simpler, since the homomorphism ' can be replaced by one from B into D itself. The triple ...
متن کاملCentral Extensions of the Heisenberg Algebra
Abstract. We study the non-trivial central extensions CEHeis of the Heisenberg algebra Heis recently constructed in [1]. We prove that a real form of CEHeis is one the fifteen classified real four–dimensional solvable Lie algebras. We also show that CEHeis can be realized (i) as a sub–Lie–algebra of the Schroedinger algebra and (ii) in terms of two independent copies of the canonical commutatio...
متن کاملHopf Algebra Extensions of Monogenic Hopf Algebras
William M. Singer has described a cohomology theory of connected Hopf algebras which classifies extensions of a cocommutative Hopf algebra by a commutative Hopf algebra in much the same way as the cohomology of groups classifies extensions of a group by an abelian group. We compute these cohomology groups for monogenic Hopf algebras, construct an action of the base ring on the cohomology groups...
متن کاملSecondary Characteristic Classes of Lie Algebra Extensions
We introduce a notion of secondary characteristic classes of Lie algebra extensions. As a spin-off of our construction we obtain a new proof of Lecomte’s generalization of the Chern–Weil homomorphism.
متن کاملSimple Birational Extensions of the Polynomial Algebra
The Abhyankar-Sathaye Problem asks whether any biregular embedding φ : C →֒ C can be rectified, that is, whether there exists an automorphism α ∈ AutC such that α ◦ φ is a linear embedding. Here we study this problem for the embeddings φ : C3 →֒ C4 whose image X = φ(C3) is given in C4 by an equation p = f(x, y)u + g(x, y, z) = 0, where f ∈ C[x, y]\{0} and g ∈ C[x, y, z]. Under certain additional ...
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: Pacific Journal of Mathematics
سال: 1989
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1989.137.87