Results 41 to 50 of about 2,014,536 (376)
The asymptotic behavior of Frobenius direct images of rings of invariants [PDF]
, 2015 We define the Frobenius limit of a module over a ring of prime characteristic to be the limit of the normalized Frobenius direct images in a certain Grothendieck group.
Hashimoto, Mitsuyasu, Symonds, Peter
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The Patch Topology and the Ultrafilter Topology on the Prime Spectrum of a Commutative Ring [PDF]
, 2007 Let R be a commutative ring and let Spec(R) denote the collection of prime ideals of R. We define a topology on Spec(R) by using ultrafilters and demonstrate that this topology is identical to the well-known patch or constructible topology.
M. Fontana, And K Alan Loper
semanticscholar +1 more source
Proceedings of the Edinburgh Mathematical Society, 1991 A ring R is prime essential if R is semiprime and for each prime ideal P of R, P ∩ I ≠0 whenever I is a nonzero two-sided ideal of R. Examples of prime essential rings include rings of continuous functions and infinite products modulo infinite sums. We show that the class of prime essential rings is closed under many familiar operations; in particular,
Gardner, B. J., Stewart, P. N.
openaire +1 more source
International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a prime ring of characteristic not 2, U a nonzero ideal of R and 0≠da(α,β)-derivation of R where α and β are automorphisms of R. i) [d(U),a]=0 then a∈Z ii) For a,b∈R, the following conditions are equivalent (I) α(a)d(x)=d(x)β(b), for all x∈U ...
Neşet Aydin
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On (?,?)-Derivations and Commutativity of Prime and Semi prime ?-rings
مجلة بغداد للعلوم, 2016 Let R be a ?-ring, and ?, ? be two automorphisms of R. An additive mapping d from a ?-ring R into itself is called a (?,?)-derivation on R if d(a?b) = d(a)? ?(b) + ?(a)?d(b), holds for all a,b ?R and ???. d is called strong commutativity preserving (SCP)
Baghdad Science Journal
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Symmetric n-derivations on prime ideals with applications
AIMS Mathematics, 2023 Let $ \mathfrak{S} $ be a ring. The main objective of this paper is to analyze the structure of quotient rings, which are represented as $ \mathfrak{S}/\mathfrak{P} $, where $ \mathfrak{S} $ is an arbitrary ring and $ \mathfrak{P} $ is a prime ideal of $
Shakir Ali +3 more
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Turkish Journal of Mathematics, 2019 In this study, we introduce the concepts of S -prime submodules and S -torsion-free modules, which are generalizations of prime submodules and torsion-free modules.
E. Sevim +3 more
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Completely Semi Prime Ideal With Respect To An Element Of A Near Ring
Journal of Kufa for Mathematics and Computer, 2011       In this paper ,we introduce the notions of completely semi prime ideal with respect to an element x (x-C.S.P.I) of a near ring and the completely semi prime ideal near ring with respect to an element x (x-C.S.P.I ) . 1.
Hussien Hadi Abass +1 more
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Open Mathematics, 2022 Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively).
Guo Junying, Guo Xiaojiang
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A one-sided Prime Ideal Principle for noncommutative rings
, 2011 Completely prime right ideals are introduced as a one-sided generalization of the concept of a prime ideal in a commutative ring. Some of their basic properties are investigated, pointing out both similarities and differences between these right ideals ...
Andrunakievich V. A. +7 more
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