Results 31 to 40 of about 233,918 (277)
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
core +1 more source
Fuzzy prime ideals redefined [PDF]
Journal of Inequalities and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
PRIMES AND PRIME IDEALS IN SHORT INTERVALS [PDF]
Mathematika, 2017 We prove the analog of Cram r's short intervals theorem for primes in arithmetic progressions and prime ideals, under the relevant Riemann Hypothesis. Both results are uniform in the data of the underlying structure. Our approach is based mainly on the inertia property of the counting functions of primes and prime ideals.
GRENIE, L. +2 more
openaire +6 more sources
On Various 2-absorbing prime ideals in non commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper we analyze strongly 2-absorbing prime ideals (shortly strongly 2-API), strongly 2-absorbing weak prime ideals (shortly strongly 2-AWPI) and 2-absorbing weak prime ideals (shortly 2-AWPI) in a non-commutative ring, which represent ...
Palanikumar M. +3 more
doaj +1 more source
Quasi-invertible prime ideals [PDF]
Proceedings of the American Mathematical Society, 1965 2. Let Hn(U, A),-'( U, B) in two successive dimensions and for all subgroups but do not assume the isomorphisms induced by a module homomorphism. It would not be reasonable to expect isomorphisms for all n and all subgroups. The following counterexample justifies our pessimism.
openaire +1 more source
A prime ideal principle for two-sided ideals
, 2016 Many classical ring-theoretic results state that an ideal that is maximal with respect to satisfying a special property must be prime. We present a "Prime Ideal Principle" that gives a uniform method of proving such facts, generalizing the Prime Ideal ...
Reyes, Manuel L.
core +1 more source
Graded 1-Absorbing Prime Ideals over Non-Commutative Graded Rings
AxiomsIn this article, we define and study graded 1-absorbing prime ideals and graded weakly 1-absorbing prime ideals in non-commutative graded rings as a new class of graded ideals that lies between graded prime ideals (graded weakly prime ideals) and graded ...
Azzh Saad Alshehry +2 more
doaj +1 more source
\(\mathcal{L}\)−weakly 1−Absorbing Prime Ideals and Filters
Bulletin of the Section of LogicIn this manuscript, we have presented the concept of \(\mathcal{L}\)-weakly 1-absorbing prime ideals and \(\mathcal{L}\)-weakly 1-absorbing prime filters within an ADL.
Natnael Teshale Amare
doaj +1 more source
Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
FEBS Letters, EarlyView.Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
M− Prime Ideals in Lattices and Their M− Prime Spectrum
International Journal of Mathematics and Mathematical SciencesIn this paper, we explore various characteristics and attributes of M− prime ideals, minimal M− prime ideals, and weakly M− prime ideals in a lattice. We demonstrate that the image and inverse image of an M− prime ideal (or weakly M− prime ideal) also ...
Natnael Teshale Amare
doaj +1 more source