scientific article; zbMATH DE number 1846962

Publication date: 17 December 2002

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Module categories in associative algebras (16D90) Algebraic field extensions (12F05) Free, projective, and flat modules and ideals in associative algebras (16D40) Prime and semiprime associative rings (16N60) Homological dimension and commutative rings (13D05) Homological dimension in associative algebras (16E10) Transcendental field extensions (12F20) Regular local rings (13H05) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02) Research exposition (monographs, survey articles) pertaining to mathematics in general (00-02) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02) Research exposition (monographs, survey articles) pertaining to field theory (12-02)

Related Items

Local algebras of differential operators, A geometric generalization of Kaplansky’s direct finiteness conjecture, On semigroups of matrices with traces in a subfield, On the relationship between differential algebra and tropical differential algebraic geometry, Euler characteristics of 3-manifold groups and discrete subgroups of SL(2, \({\mathbb{C}})\), Automorphism groups of fields, Turing meets Schanuel, Galois closures of quartic subfields of rational function fields, Homotopy and group cohomology of arrangements, Zero-divisors and idempotents in quandle rings, Multiplicative groups of fields modulo products of subfields, Limits of mappings, A new class of simple Noetherian V-domains, On the spectral and combinatorial structure of 2D positive systems, A theorem of Kaplansky revisited, A note on trace fields of complex hyperbolic groups, Representations and geometrical properties of generalized inverses over fields, Galois groups of certain even octic polynomials, Some remarks on the Jordan-Chevalley decomposition, 2-dimensional polyhedra with infinitely many left neighbors, Stable finiteness does not imply linear soficity, Burnside's theorem in the setting of general fields, Some more primitive group rings, 𝐾-theory and 0-cycles on schemes, Algebraic structures from the point of view of complete multiplicative lattices, A note on divisible and codivisible dimension, Discrete posets, cell complexes, and the global dimension of tiled orders, A bound on the order of finitely generated nilpotent groups with an exponent, Regularity of multiplicative invariants, Tits alternative for maximal subgroups of \(\text{GL}_n(D)\)., The lattice of subfields of a radical extension, Conductors in mixed characteristic, Corps des fractions de A X, Homological finiteness conditions for modules over strongly group-graded rings, Homological dimension and representation type of algebras under base field extension, Approximations of Mappings, The Groupoid Approach to Leavitt Path Algebras, Quantum automata and algebraic groups, Theorems of Burnside and Wedderburn revisited, Bounded semigroups of matrices, Irreducible trinomials over finite fields, A weak version of Rolle’s theorem, Witt kernels of bilinear forms for algebraic extensions in characteristic 2, On certain properties and invariants of graded rings and modules, Minimal injective resolution of an order over a local dedekind domain, On seminormality, Kummer extensions with few roots of unity, On the Waring rank of binary forms, On the weak dimension of coherent group rings, The Group Generated by Unipotent Operators, On the group rings of Abelian minimax groups, The Burnside problem for semigroups, ON RELATIVE INJECTIVITY, The influence of the algebra of the group, On extensions allowing a Galois theory and their Galois groups, Metabelian thin Lie algebras, Equidistributed -transitive solvable permutation groups, From Field Theoretic to Abstract Co-Galois Theory, Radjavi's trace condition for triangularizability, REGULAR LOCAL ALGEBRAS OVER VALUATION DOMAINS: WEAK DIMENSION AND REGULAR SEQUENCES, Triangularizing semigroups of matrices over a skew field, Summary on non-Archimedean valued fields, On a question of Craven and a theorem of Belyi, Fuller's theorem on equivalences, Test Problems for Operator Algebras, Cohomology of Galois extensions, On the global dimension of some filtered algebras. II, Sets of matrices with singleton spectra generated by positive matrices, On the Global Dimension of Fixed Rings, Homological Dimensions in a Morita Context with Applications to Subidealizers and Fixed Rings, Transcendental division algebras and simple Noetherian rings, A Note on the Localization Theorem for Projective Modules, Pseudo representations, Injective modules and prime ideals, Blown-up Čech cohomology and Cartan’s Theorem B on real algebraic varieties, Matrix factorizations for self-orthogonal categories of modules, On the equationAB=BXin collections of matrices, \(p\)-groups and the polynomial ring of invariants question, Commutative domains large in their \({\mathfrak M}\)-adic completions, Scalar-Reflexive Rings, Stark's conjecture for L-functions with first-order zeroes at s=0, Fundamental solutions of real homogeneous cubic operators of principal type in three dimensions, Finitistic dimensions of ring extensions, On the adèle rings of radical extensions of the rationals, On dual surjunctivity and applications, Group-regular rings, Von neuman finiteness of tensor products of algebras, On the product of two primitive elements of maximal subfields of a finite field, Kaplansky fields andp-algebraically closed fields, A finiteness lemma, brauer's theorem and other iIrreducibility results, Ranks of Matrices Over Ore Domains, There exists a polyhedron with infinitely many left neighbors, On the sum of two primitive elements of maximal subfields of a finite field., A game with two players choosing the coefficients of a polynomial