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On the (co)homology of (quotients of) moment-angle manifolds over polygons
The purpose of this paper is to represent the cohomology ring of a moment-angle manifold over an m -gon explicitly in terms of the quotient of an...
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Uniruledness of some low-dimensional ball quotients
We define reflective modular forms on complex balls and use a method of Gritsenko and Hulek to show that some ball quotients of dimensions 3, 4 and 5...
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Ideals with Linear Quotients and Componentwise Polymatroidal Ideals
If I is a monomial ideal with linear quotients, then it has componentwise linear quotients. However, the converse of this statement is an open...
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On Compatible Ring Structures of the Injective Hull of a Ring
For a ring R, let \(E(R_R)\) and Q(R) be the...
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Ring Homomorphisms and Isomorphisms
It is time to further enhance our understanding of rings by introducing a pair of new concepts: homomorphisms and isomorphisms of rings. Once again,...
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The Group of Quotients of the Semigroup of Invertible Nonnegative Matrices Over Local Rings
In this paper, we prove that for a linearly ordered local ring R with 1 / 2 the group of quotients of the semigroup of invertible nonnegative matrices G
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Semigroups of straight left inverse quotients
Let Q be an inverse semigroup. A subsemigroup S of Q is a left I-order in Q and Q is a semigroup of left I-quotients of S if every element in Q can...
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Rationality of Quotients by Finite Heisenberg Groups
We prove rationality of the quotient \(\mathbb {C}^n / H_n\)...
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Coarse Homomorphisms, Subgroups and Quotients
Let \(\boldsymbol G=(G,\mathcal {E})\) and...
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Finite Quotients, Arithmetic Invariants, and Hyperbolic Volume
For any pair of orientable closed hyperbolic 3-manifolds, this paper shows that any isomorphism between the profinite completions of their...
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Generalized Skew Derivation of Order 2 in Prime Ring with Multilinear Polynomial
Let \(\mathcal {R}\) be a prime ring of characteristic not...
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Extra-special quotients of surface braid groups and double Kodaira fibrations with small signature
We study some special systems of generators on finite groups, introduced in previous work by the first author and called diagonal double Kodaira...
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Linear Differential Equation with Inhomogeneity in the Form of a Formal Power Series Over a Ring with Non-Archimedean Valuation
Consider a linear inhomogeneous differential equation of the m th order with constant coefficients from the valuation ring K of a non-Archimedean...
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EQUIVARIANT COX RING
We define the equivariant Cox ring of a normal variety with algebraic group action. We study algebraic and geometric aspects of this object and show...