Results 31 to 40 of about 234,740 (275)
Weakly 2-Absorbing Ideals in Almost Distributive Lattices
The concepts of weakly 2-absorbing ideal and weakly 1-absorbing prime ideal in an almost distributive lattice (ADL) are introduced, and the necessary conditions for a weakly 1-absorbing prime ideal to become a weakly 2-absorbing ideal in algebraic form ...
Natnael Teshale Amare
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On S-2-Prime Ideals of Commutative Rings
Prime ideals and their generalizations are crucial in numerous research areas, particularly in commutative algebra. The concept of generalization of prime ideals begins with the study of weakly prime ideals.
Sanem Yavuz +3 more
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Anti fuzzy ideal extension of semigroups [PDF]
In this paper the concepts of anti fuzzy l-prime ideals, anti fuzzy semiprime ideals and anti fuzzy ideal extensions in asemigroup have been introduced. They are found to satisfy characteristic function criterion and anti level subset criterion.
S. Kumar Majumder, P. Pal, S. K. Sardar
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A one-sided Prime Ideal Principle for noncommutative rings
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
Linnik's theorem on the least prime in an arithmetic progression is extended to algebraic number fields. The results are formulated in terms of the arithmetic of the field in a sufficiently invariant way that they apply also to the least prime ideal in the Chebotarev density theorem.
openaire +1 more source
Graded 1-Absorbing Prime Ideals over Non-Commutative Graded Rings
In 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
On Various 2-absorbing prime ideals in non commutative rings
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
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\(\mathcal{L}\)−weakly 1−Absorbing Prime Ideals and Filters
In 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
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Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
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
In 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

