منابع مشابه
Factorization in Quantum Planes
These results stem from a course on ring theory. Quantum planes are rings in two variables x and y such that yx = qxy where q is a nonzero constant. When q = 1 a quantum plane is simply a commutative polynomial ring in two variables. Otherwise a quantum plane is a noncommutative ring. Our main interest is in quadratic forms belonging to a quantum plane. We provide necessary and sufficient condi...
متن کاملQuantum Orthogonal Planes:
We construct differential calculi on multiparametric quantum orthogonal planes in any dimension N . These calculi are bicovariant under the action of the full inhomogeneous (multiparametric) quantum group ISOq,r(N), and do contain dilatations. If we require bicovariance only under the quantum orthogonal group SOq,r(N), the calculus on the q-plane can be expressed in terms of its coordinates x, ...
متن کاملRepresentation Theory of Liftings of Quantum Planes
We determine the regular representations, Gabriel quivers and representation type of all liftings of two-dimensional quantum linear spaces
متن کاملMonadic L-fuzzy Quantifiers of the Type <1n,1>
The aim of this paper is to introduce monadic L-fuzzy quantifiers of the type 〈1, 1〉 and to investigate some of their semantic properties that are well-known in the generalized quantifier theory. Further, some relations between the semantic properties of generalized quantifiers are also studied for monadic L-fuzzy quantifiers. Finally, a property “to be extensional w.r.t. a given L-permutation ...
متن کاملOn Deformation of Elliptic Quantum Planes
Elliptic Quantum Planes means here non-commutative deformations of the complex projective plane P(C). We consider deformations in the realm of non-commutative (complex) algebraic geometry. As we recall in the first section, elliptic modulus parameter enters into the game. Hence the adjective “elliptic” is used. Note also that, in that world, the complex projective line P(C), namely the Riemann ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2000
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8626