Results 41 to 50 of about 2,005,027 (257)
, 2006 In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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Rings all of whose additive group endomorphisms are left multiplications
International Journal of Mathematics and Mathematical Sciences, 1984 Motivated by Cauchy's functional equation f(x+y)=f(x)+f(y), we study in §1 special rings, namely, rings for which every endomorphism f of their additive group is of the form f(x)≡ax. In §2 we generalize to R algebras (R a fixed commutative ring) and give
Michael I. Rosen, Oved shisha
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$G$-valuations and $G$-valuation rings
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Filtrations and valuations on rings [PDF]
Bulletin of the Australian Mathematical Society, 1971 This thesis was scanned from the print manuscript for digital preservation and is copyright the author. Researchers can access this thesis by asking their local university, institution or public library to make a request on their behalf. Monash staff and postgraduate students can use the link in the References field.
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On the Structure of Affine Flat Group Schemes Over Discrete Valuation Rings, II [PDF]
International mathematics research notices, 2017 In the first part of this work [ 12], we studied affine group schemes over a discrete valuation ring (DVR) by means of Neron blowups. We also showed how to apply these findings to throw light on the group schemes coming from Tannakian categories of ...
Duong Dai Nguyen +2 more
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Sum-Product Type Estimates for Subsets of Finite Valuation Rings [PDF]
, 2017 Let $R$ be a finite valuation ring of order $q^r.$ Using a point-plane incidence estimate in $R^3$, we obtain sum-product type estimates for subsets of $R$. In particular, we prove that for $A\subset R$, $$|AA+A|\gg \min\left\{q^{r}, \frac{|A|^3}{q^{2r-1}
E. Yazici
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, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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, 2011 In this paper, we present some elementary properties of neutrosophic rings. The structure of neutrosophic polynomial rings is also presented. We provide answers to the questions raised by Vasantha Kandasamy and Florentin Smarandache in [1] concerning ...
Oyebola O.Y. +2 more
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مجلة جامعة دمشق للعلوم الأساسية, 2021 يعرض هذا البحث تطبيقاً لمبرهنة ”Cayley-Hamilton" وتمهيدية"Nakayama" في دراسة العلاقة بين الحلقات الناظمية"Normal Rings" وحلقات التقييم "Valuation Rings", حيث إنه تم عرض فكرة عامة عن أهمية الحلقات الناظمية وحلقات التقييم وتعاريف ومفاهيم أساسية من الجبر ...
د. شوقي محمد الراشد
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Illinois Journal of Mathematics, 2018 Let $(R, \mathfrak{m})$ be a complete discrete valuation ring with the finite residue field $R/\mathfrak{m} = \mathbb{F}_{q}$. Given a monic polynomial $P(t) \in R[t]$ whose reduction modulo $\mathfrak{m}$ gives an irreducible polynomial $\bar{P}(t) \in \
Gilyoung Cheong, Yi-Feng Huang
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