Search Results - "Goodearl, K.R."

Binomial ideals in quantum tori and quantum affine spaces by Goodearl, K.R.

“…The article targets binomial ideals in quantum tori and quantum affine spaces. First, noncommutative analogs of known results for commutative (Laurent)…”
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Poisson catenarity in Poisson nilpotent algebras by Goodearl, K.R., Launois, S.

“…We prove that for the iterated Poisson polynomial rings known as Poisson nilpotent algebras (or Poisson-CGL extensions), the Poisson prime spectrum is…”
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Homological Aspects of Noetherian PI Hopf Algebras and Irreducible Modules of Maximal Dimension by Brown, K.A., Goodearl, K.R.

“…We prove that a Noetherian Hopf algebra of finite global dimension possesses further attractive homological properties, at least when it satisfies a polynomial…”
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From quantum Ore extensions to quantum tori via noncommutative UFDs by Goodearl, K.R., Yakimov, M.T.

“…All iterated skew polynomial extensions arising from quantized universal enveloping algebras of Kac–Moody algebras are special examples of a very large,…”
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C ⁎ -algebras of separated graphs by Ara, P., Goodearl, K.R.

“…The construction of the C ⁎ -algebra associated to a directed graph E is extended to incorporate a family C consisting of partitions of the sets of edges…”
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Noetherian Hopf algebra domains of Gelfand–Kirillov dimension two by Goodearl, K.R., Zhang, J.J.

“…We classify all noetherian Hopf algebras H over an algebraically closed field k of characteristic zero which are integral domains of Gelfand–Kirillov dimension…”
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RIESZ DECOMPOSITION IN INDUCTIVE LIMIT C-ALGEBRAS by GOODEARL, K.R.

“…As recently proved by Zhang, the projections in any C*-algebra of real rank zero enjoy the Riesz decomposition property. Here the Riesz decomposition property…”
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Totally nonnegative cells and matrix Poisson varieties by Goodearl, K.R., Launois, S., Lenagan, T.H.

“…We describe explicitly the admissible families of minors for the totally nonnegative cells of real matrices, that is, the families of minors that produce…”
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CENTRALIZERS IN DIFFERENTIAL, PSEUDO-DIFFERENTIAL, AND FRACTIONAL DIFFERENTIAL OPERATOR RINGS by GOODEARL, K. R.

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Poisson structures on affine spaces and flag varieties. I. Matrix affine Poisson space by Brown, K.A., Goodearl, K.R., Yakimov, M.

“…The standard Poisson structure on the rectangular matrix variety M m , n ( C ) is investigated, via the orbits of symplectic leaves under the action of the…”
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LU decomposition of totally nonnegative matrices by Goodearl, K.R., Lenagan, T.H.

“…A uniqueness theorem for an LU decomposition of a totally nonnegative matrix is obtained…”
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Fractional skew monoid rings by Ara, P, González-Barroso, M.A, Goodearl, K.R, Pardo, E

“…Given an action α of a monoid T on a ring A by ring endomorphisms, and an Ore subset S of T, a general construction of a fractional skew monoid ring S op ∗ αA∗…”
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Winding-invariant prime ideals in quantum 3×3 matrices by Goodearl, K.R., Lenagan, T.H.

“…A complete determination of the prime ideals invariant under winding automorphisms in the generic 3×3 quantum matrix algebra O q(M 3(k)) is obtained. Explicit…”
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Periodic flat modules, and flat modules for finite groups by Benson, D.J., Goodearl, K.R.

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Diagonalization of matrices over regular rings by Ara, P., Goodearl, K.R., O'Meara, K.C., Pardo, E.

“…Square matrices are shown to be diagonalizable over all known classes of (von Neumann) regular rings. This diagonalizability is equivalent to a cancellation…”
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K 1 of separative exchange rings and C-algebras with real rank zero by Ara, P., Goodearl, K.R., O’Meara, K.C., Raphael, R.

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Catenarity in quantum algebras by Goodearl, K.R., Lenagan, T.H.

“…Various quantum algebras are shown to be catenary, i.e., all saturated chains of prime ideals between any two fixed primes have the same length. Further,…”
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K-Theoretically Simple Von Neumann Regular Rings by Ara, P., Goodearl, K.R., Pardo, E., Tyukavkin, D.V.

“…The differences between simplicity of a von Neumann regular ring and simplicity of its ordered Grothendieck group K0 are investigated. In particular, we…”
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Partially ordered Grothendieck groups by Goodearl, K.R.

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