A ring
New criteria for a ring to have a semisimple left quotient ring
... arbitrary ring: the largest left quotient ring of a ring, the largest regular left Ore set of a ring, the left localization radical of a ring, a maximal left denominator set, a maximal ...
23
Criteria for a Ring to have aLeft Noetherian Largest Left Quotient Ring
... a Ring to have a Left Noetherian Largest Left Quotient Ring Stafford [12] obtained a criterion to determine when a Noetherian ring is its own quotient ...Noetherian ring which is a finite ...
15
Criteria for a ring to have a left Noetherian left quotient ring
... The largest regular left Ore set and the largest left quotient ring of a ring. Let R be a ring. A multiplicatively closed subset S of R or a multiplicative subset of R (i.e., a multiplicative ...
18
The Largest Left Quotient Ring of a Ring
... Properties of the maximal left quotient rings of a ring. The next theorem describes various properties of the maximal left quotient rings of a ring. In particular, their groups of units and their largest ...
25
The D ring, Not the A ring, Rotates in Synechococcus OS B' Phytochrome
... Denaturation─The findings described above not only rule out an A-ring photoflip: other than the breakage of the His169···N24 hydrogen bond, they provide no evidence for D-ring photoflip either. Indeed, the ...
12
The D-ring, Not the A-ring, Rotates in Synechococcus OS-B ' Phytochrome
... Ulijasz et al. (24) attracted particular attention because it contradicted the general consensus that Pr and Pfr geometries are ZZZssa and ZZEssa, respectively, and indeed that the pri- mary photochemical event in ...
16
Phyllostictine A ring assembly via ring closing metathesis
... Chapter 2 describes work towards the construction of the macrocyclic rings found in phyllostictine A. As a result α-methylene-β-lactams have been shown, for the first time, to participate in RCM reactions. Formation of ...
190
Left localizable rings and their characterizations
... arbitrary ring: the largest left quotient ring of a ring, the largest regular left Ore set of a ring, the maximal left quotient rings of a ring, the largest (two-sided) quotient ...
15
Generalization of Schur's Lemma in Ring Representations on Modules over a Commutative Ring
... a ring homomorphism ϕ : R → End Z (M) where End Z (M ) is a ring of all group endomorphism of M ...a ring homomorphism f : R → S, then every S-module is also R-module, where the scalar multiplication ...
11
Type conditions of stable range for identification of qualitative generalized classes of rings
... classical ring of quotients of a commutative ring is a ring of stable range 1? We introduce the concepts of a ring of (von Neumann) regular range 1, a ring of semihereditary range 1, a ...
9
On p p rings which are reduced
... a ring R a left p.p.-ring [3], in brevity, an l.p.p.-ring, if every principal left ideal of R, regarded as a left R-module, is ...a ring R a p.p.-ring if R is both an ...
5
PubMedCentral-PMC5206802.pdf
... this ring. We suppose that the C-ring in 13d is thus forced away from the Y181 or Y188 residue, reducing the molecular affinity for the viral target and then decreasing the ...
41
Effective ring
... b / ∈ J (aR) then by simple observation element r is not a unit in a ring R. Then equality rR + bR = R implies that ru + bv = 1 for some elements u, v ∈ R. Then rsu + bsv = s. Since a = rs then rs = 0 and we have ...
8
Accidental ingestion of BiTine ring and a note on inefficient ring separation forceps
... Our patient ingested a ring, 2 cm in diameter and with two 0.5 cm outward projections, which can be regarded as a medium-sized sharp object. We were very much concerned about the impaction of the ring ...
7
Transparency of Polynomial Ring Over a Commutative Noetherian Ring
... In case σ is the identity map, we denote the differential operator ring R[ x ; δ] by D(R). If J is an ideal of R such that J is δ-invariant (i.e. δ(J ) ⊆ J ), then clearly J[ x ; δ] is an ideal of D(R), and we ...
7
Weak PS-rings over Skew Hurwitz Series
... a ring R. Recall that: A ring R is called an NI-ring if nil (R) is a two sided ideal in R and R is called a reduced ring if nil (R) = ...
16
Modeling and application of ring stiffness condition for radial-axial ring rolling
... a ring with good dimension and performance, some rolling conditions have been ...the ring rotate smoothly, biting condition in radial and axial rolls should be satisfied ...the ring produce plastic ...
33
A morphic ring of neat range one
... commutative ring R has neat range one if and only if every unit modulo principal ideal of a ring lifts to a neat ...morphic ring R has a neat range one if and only if for any elements a, b ∈ R such ...
5
Hydrodynamics of Buoyant Vortex Rings
... Partly because the flow pattern downstream of a torus with Ar<3.9 is asymmetric, accurate simulation of the shedding frequency can be quite challenging, and thus, rarely attempted. The few attempts [1, 20] are ...
122
On Semi π Regular Local Ring
... A ring R is said to be a right (left) semi π -regular local ring if and only if for all a in R , either a or ( 1 − a ) is a right (left) semi π -regular ...a ring. Then R is a right semi π -regular ...
7