Results 11 to 20 of about 5,453 (309)
The étale cohomology ring of the ring of integers of a number field [PDF]
Research in Number Theory, 2023 AbstractWe compute the cohomology ring $$H^*(X,{{\mathbb {Z}}}/n{{\mathbb {Z}}})$$ H ∗ ( X , Z /
Eric Ahlqvist, Magnus Carlson
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Combinatorial integers (m,nj) and Schubert calculus in the integral cohomology ring of infinite smooth flag manifolds [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We discuss the calculation of integral cohomology ring of LG/T and ΩG. First we describe the root system and Weyl group of LG, then we give some homotopy equivalences on the loop groups and homogeneous spaces, and calculate the cohomology ring structures
Cenap Özel, Erol Yilmaz
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Maximal and Prime Ideals of Skew Polynomial Ring Over the Gauss Integers Domain [PDF]
Makara Seri Sains, 2010 Maximal and Prime Ideals of Skew Polynomial Ring Over the Gauss Integers Domain. Let R be any ring withidentity 1, σ be an automorphism of R and δ be a left σ-derivation. The skew polynomial ring over R in anindeterminate x is the set of polynomials anxn
Amir Kamal Amir
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Euclidean Rings of Algebraic Integers [PDF]
Canadian Journal of Mathematics, 2004 AbstractLet K be a finite Galois extension of the field of rational numbers with unit rank greater than 3. We prove that the ring of integers of K is a Euclidean domain if and only if it is a principal ideal domain. This was previously known under the assumption of the generalized Riemann hypothesis for Dedekind zeta functions.
Harper, Malcolm, Murty, M. Ram
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Integral cohomology and chern classes of the special linear group over the ring of integers [PDF]
, 2001 This paper is devoted to the complete calculation of the additive structure of the 2-torsion of the integral cohomology of the innite special linear group SL(Z) over the ring of integers Z.
Arlettaz, Dominique +3 more
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∗-Regularity in the ring of matrices over the ring of integers modulo 𝑛 [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2023 For any positive integer 𝑛 ≥ 2, we give necessary and sufficient conditions of the existence of the Moore-Penrose inverse of any square matrix over the ring of integers modulo 𝑛.
Wannisa Apairat, Sompong Chuysurichay
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Some properties of the extended zero-divisor graph of the ring of Gaussian integers modulo n [PDF]
, 2020 Recently, Bennis and others studied an extension of the zero-divisor graph of a commutative ring R. They called this extension the extended zero-divisor graph of R, denoted by Γ(R). The graph Γ(R) has as set of vertices all the nonzero zero-divisors of R,
Basem Alkhamaiseh, Alkhamaiseh, Basem
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Polyadic rings of p-adic integers
Symmetry, 2022 In this note we, first, recall that the sets of all representatives of some special ordinary residue classes become $\left( m,n\right) $-rings. Second, we introduce a possible $p$-adic analog of the residue class modulo a $p$-adic integer. Then, we find the relations which determine, when the representatives form a $\left( m,n\right) $-ring.
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Torsion-free crystallographic groups with indecomposable holonomy group II. [PDF]
, 2004 Let K be a principal ideal domain, G a finite group, and M a KG-module which is a free K-module of finite rank on which G acts faithfully. A generalized crystallographic group is a non-split extension C of M by G such that conjugation in C induces the G ...
Bódi, Viktor +3 more
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Arithmetic in the ring of Gaussian integers [PDF]
, 2022 A research report submitted to the School of Mathematics, Faculty of Science, University of Witwatersrand, in partial fulfilment of the requirements for the degree Master of Science, 2022We study the ring of integers Z, and use it’s properties along with
Molelekeng, Beverly
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