Homology modules and standard bases
Homology of Local Flat Extensions and Complete Intersection Defects.
Homomorphismes discontinus des algèbres de Banach commutatives séparables
Homotopy and sections of algebraic vector bundles over real affine algebras.
Homotopy Lie algebras and Poincaré series of algebras with monomial relations.
Homotopy representability of Brauer groups.
The purpose of this paper is to present certain facts and results showing a way through which simplicial homotopy theory can be used in the study of Auslander-Goldman-Brauer groups of Azumaya algebras over commutative rings.
Hopf algebra structure on topological Hochschild homology.
How to categorify one-half of quantum 𝔤𝔩(1|2)
We describe a collection of differential graded rings that categorify weight spaces of the positive half of the quantized universal enveloping algebra of the Lie superalgebra 𝔤𝔩(1|2).
Hulls of mixed modules with finite quotient -rank
Hyperfunction cohomology classes and their boundary values
Ideal arithmetic and infrastructure in purely cubic function fields
This paper investigates the arithmetic of fractional ideals of a purely cubic function field and the infrastructure of the principal ideal class when the field has unit rank one. First, we describe how irreducible polynomials decompose into prime ideals in the maximal order of the field. We go on to compute so-called canonical bases of ideals; such bases are very suitable for computation. We state algorithms for ideal multiplication and, in the case of unit rank one and characteristic at least five,...
Ideal as an intersection of zero-dimensional ideals and the Noether exponent.
Ideal class (semi)groups and atomicity in Prüfer domains
We explore the connection between atomicity in Prüfer domains and their corresponding class groups. We observe that a class group of infinite order is necessary for non-Noetherian almost Dedekind and Prüfer domains of finite character to be atomic. We construct a non-Noetherian almost Dedekind domain and exhibit a generating set for the ideal class semigroup.
Ideal interpolation: Mourrain's condition vs. D-invariance
Mourrain [Mo] characterizes those linear projectors on a finite-dimensional polynomial space that can be extended to an ideal projector, i.e., a projector on polynomials whose kernel is an ideal. This is important in the construction of normal form algorithms for a polynomial ideal. Mourrain's characterization requires the polynomial space to be 'connected to 1', a condition that is implied by D-invariance in case the polynomial space is spanned by monomials. We give examples to show that, for more...
Ideal structure of Hurwitz series rings.
Ideal theory in Prüfer rings with zero divisors.
Ideal Turaev-Viro invariants.
Ideals generated by minors of a symmetric matrix.
Ideals in rings of integer valued polynomials.
Ideals with maximal local cohomology modules