منابع مشابه
Local Rings of Finite Cohen-macaulay Type
Let (R,m) be a local Cohen-Macaulay ring whose m-adic completion R̂ has an isolated singularity. We verify the following conjecture of F.-O. Schreyer: R has finite Cohen-Macaulay type if and only if R̂ has finite Cohen-Macaulay type. We show also that the hypersurface k[[x0, . . . , xd]]/(f) has finite Cohen-Macaulay type if and only if k [[x0, . . . , xd]]/(f) has finite Cohen-Macaulay type, whe...
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We introduce center-like subsets Z*(R,f), Z**(R,f) and Z1(R,f), where R is a ring and f is a map from R to R. For f a derivation or a non-identity epimorphism and R a suitably-chosen prime or semiprime ring, we prove that these sets coincide with the center of R.
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The main result gives a sufficient condition for a class K of finite dimensional cylindric algebras to have the property that not every epimorphism in K is surjective. In particular, not all epimorphisms are surjective in the classes CAn of n-dimensional cylindric algebras and the class of representable algebras in CAn for finite n > 1, solving Problem 10 of [28] for finite n. By a result of Né...
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Kwok [10] studied the association schemes obtained by the action of the semidirect products of the orthogonal groups over the finite fields and the underlying vector spaces. They are called the assiciation schemes of a‰ne type. In this paper, we define the association schemes of a‰ne type over the finite ring Zq 1⁄4 Z=qZ where q is a prime power in the same manner, and calculate their character...
متن کاملA Carlitz–von Staudt Type Theorem for Finite Rings
We compute the kth power-sum polynomials (for k > 0) over an arbitrary finite ring R, obtained by summing the kth powers of (T + r) for r ∈ R. For R non-commutative, this extends the work of Brawley–Carlitz–Levine [Duke Math. J. 41], and resolves a conjecture by Fortuny Ayuso, Grau, Oller-Marcén, and Rúa (2015). For R commutative, our results bring together two classical programs in the literat...
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2019
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498820500632