منابع مشابه
Strong Stably Finite Rings and Some Extensions
A ring R is called right strong stably finite (r.ssf) if for all n ≥ 1, injective endomorphisms of R (n) R are essential. If R is an r.ssf ring and e is an idempotent of R such that eR is a retractable R-module, then eRe is an r.ssf ring. A direct product of rings is an r.ssf ring if and only if each factor is so. The R.ssf condition is investigated for formal triangular matrix rings. In partic...
متن کاملLocal 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...
متن کاملAssociation schemes of a‰ne type over finite rings
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 generalization of strong causality
در این رساله t_n - علیت قوی تعریف می شود. این رده ها در جدول علیت فضا- زمان بین علیت پایدار و علیت قوی قرار دارند. یک قضیه برای رده بندی آنها ثابت می شود و t_n- علیت قوی با رده های علی کارتر مقایسه می شود. همچنین ثابت می شود که علیت فشرده پایدار از t_n - علیت قوی نتیجه می شود. بعلاوه به بررسی رابطه نظریه دامنه ها با نسبیت عام می پردازیم و ثابت می کنیم که نوع خاصی از فضا- زمان های علی پایدار, ب...
A 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: 2023
ISSN: ['1793-6829', '0219-4988']
DOI: https://doi.org/10.1142/s0219498824501226