Results 91 to 100 of about 737,584 (193)
Let  be a commutative ring with identity . It is well known that a topology was defined for  called the Zariski topology (prime spectrum) . In this paper we will generalize this idea for near prime ideal . If  be a commutative near-ring with identity
Hadi J Mustafa +1 more
doaj +1 more source
Distinct EEG Features and Sleep/Wake Behaviour Predict Anxiety Phenotypes in Mice
ABSTRACT Preoperative anxiety is a prevalent clinical problem linked to adverse surgical outcomes, including elevated pain, prolonged hospital stays and increased risk of postoperative delirium. Current assessments rely heavily on subjective measures, necessitating objective biomarkers.
A. Altunkaya +7 more
wiley +1 more source
ON SEMISIMPLE LEAVITT PATH ALGEBRAS OVER A COMMUTATIVE UNITAL RING [PDF]
A finite acyclic graph always contains a sink, a vertex that does not emit edges. Any sink at the graph will generate minimal basic ideal of the Leavitt path algebra over a commutative unital ring. Moreover, the Leavitt path algebra on the finite acyclic
Wardati, Khurul
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Gibbons–Tsarev Type Systems and Eventual Identities
ABSTRACT We show that non‐diagonalizable reductions of the dKP equation associated with regular non‐semisimple F$F$‐manifolds cannot exist. The proof is based on the derivation and study of a generalized Gibbons–Tsarev system (gGT system) in the non‐semisimple/non‐diagonalizable setting.
Alessandro Arsie +3 more
wiley +1 more source
Two elementary commutativity theorems for generalized boolean rings
In this paper we prove that if R is a ring with 1 as an identity element in which xm−xn∈Z(R) for all x∈R and fixed relatively prime positive integers m and n, one of which is even, then R is commutative.
Vishnu Gupta
doaj +1 more source
The Additive Logic of Epistemic Reasons: An Axiomatic Account
ABSTRACT The article argues for a system of axioms that is meant to capture the logic of normative reasons for belief. The system concerns a primitive direct‐reason relation, a defined doxastic‐reason relation, and a primitive function for the revision of rational belief by reasons.
Hannes Leitgeb
wiley +1 more source
Global dimension of dg algebras via compact silting objects
Abstract We introduce a notion of global dimension for a triangulated category relative to a compact silting object. We prove that the finiteness of this dimension is an intrinsic property of the triangulated category itself and, therefore, independent of the choice of the silting object.
Panagiotis Kostas
wiley +1 more source
S-J-Ideals: A Study in Commutative and Noncommutative Rings
In this paper, we introduce the concept of S-J-ideals in both commutative and noncommutative rings. For a commutative ring R and a multiplicatively closed subset S, we show that many properties of J-ideals apply to S-J-ideals and examine their ...
Alaa Abouhalaka +2 more
doaj +1 more source
Matchings: Source, goal, and faithful companion
Abstract Matchings were among the earliest motivations for graph theory. They subsequently remained a central goal, inspiring the development of new mathematical tools that went well beyond problems directly concerning matchings. These tools proved widely applicable, accompanying the growth of graph theory over the past century.
András Sebő
wiley +1 more source
An outer measure on a commutative ring
We show how to produce a reasonable outer measure on a commutative ring from a given measure on a family of prime ideals of this ring.
Dudzik, D., Skrzyński, M.
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