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[PDF] Top 20 On center like elements in rings

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On center like elements in rings

On center like elements in rings

... In a paper with a similar title Herstein has considered the structure of 0 or is in the prime rings which contain an element a which satisfies either [a x in.. We consider the structure [r] ... See full document

5

On dependent elements in rings

On dependent elements in rings

... This research has been motivated by the work of Laradji and Thaheem [11]. Through- out, R will represent an associative ring with center Z(R) . As usual the commutator xy − yx will be denoted by [x,y]. We will use ... See full document

12

On weak center Galois extensions of rings

On weak center Galois extensions of rings

... the center of B, G a finite automorphism group of B, and B G the set of elements in B fixed under each element in ...a center Galois extension of B G with Galois group G ...weak center Galois ... See full document

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Dependent Elements of Derivations on Semiprime Rings

Dependent Elements of Derivations on Semiprime Rings

... suggested by the referee is based on a theorem of Chuang and Lee 13. The statement of the said theorem and the proof of Theorem 2.6 as suggested by the referee are given below. Theorem 2.8 see 13. Let R be a semiprime ... See full document

6

Redetermination of [bis­(2 pyridyl)­amine N,N′]copper(II) diperchlorate

Redetermination of [bis­(2 pyridyl)­amine N,N′]copper(II) diperchlorate

... The perchlorate anions act as bridges to link the complex cations through N—H···O hydrogen bonds and C—H···O close contacts, forming a chain structure, as shown in Fig. 2. The C(N)···O and H···O separations, and the bond ... See full document

8

Non-reduced rings of small order and their maximal graph

Non-reduced rings of small order and their maximal graph

... are elements of R, and two distinct vertices a and b are adjacent if and only if there is a maximal ideal of R containing ...unit elements of R, that is, Γ(R) is a simple graph whose vertices are the ... See full document

10

Noncommutativity and noncentral zero divisors

Noncommutativity and noncentral zero divisors

... 1. Preliminaries. In general, R represents a ring, not necessarily with 1, and Z its center. For Y an element or subset of R, A(Y ) is the two-sided annihilator of Y ; and for H ⊆ R, |H| denotes the cardinal ... See full document

8

A day at a time: caregiving on the edge in advanced COPD

A day at a time: caregiving on the edge in advanced COPD

... it appears to arise as part of a complex interaction affected by personal elements like caregiver personality, experience, and sense of self-efficacy; relational elements like the care[r] ... See full document

11

PIF- and Pong-Like Transposable Elements: Distribution, Evolution and Relationship With Tourist-Like Miniature Inverted-Repeat Transposable Elements

PIF- and Pong-Like Transposable Elements: Distribution, Evolution and Relationship With Tourist-Like Miniature Inverted-Repeat Transposable Elements

... Figure 3.—Phylogeny of plant PIF- and Pong-like TPases. The phylogenetic tree was generated using the neighbor-joining method from a CLUSTALW multiple alignment of 99 catalytic domains of PIF- and Pong-like ... See full document

16

ERV-L Elements: a Family of Endogenous Retrovirus-Like Elements Active throughout the Evolution of Mammals

ERV-L Elements: a Family of Endogenous Retrovirus-Like Elements Active throughout the Evolution of Mammals

... retrovirus-like elements, and more generally of transposable elements, is rather unique, as they can be considered neither classical genes nor pseudo- ...of elements, can even be ...among ... See full document

8

Tc 1-like transposable elements in plant genomes

Tc 1-like transposable elements in plant genomes

... Tc1-mariner-IS630 is a Class II TE superfamily first iden- tified in nematode and insect genomes [19]. The superfam- ily was named after Tc1 in Caenorhabditis elegans [20], and mariner in Drosophila mauritiana [21]. This ... See full document

10

How Do the Nucleons Pack in an Atomic Nucleus?

How Do the Nucleons Pack in an Atomic Nucleus?

... long ago [7]-[10]. The most remarkable fact is the identical spin and parity, J π , of mirror nuclei in ground state as summarized in Table 1, with very few exceptions or uncertainties. Since the ring is ... See full document

13

Gamma Rings of Gamma Endomorphisms

Gamma Rings of Gamma Endomorphisms

... Proof. Let x be an arbitrary nonzero element of M. Since ΑΓ∆ ⊆ Α . We have that ( x Α Γ∆ = ΑΓ∆ ⊆ Α ) x ( ) x , so that xΑ is a ∆ -sub- Γ -ring of M. Since ∆ is irreducible, it follows that xΑ = 0 or xΑ = Μ . Suppose that ... See full document

6

MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS

MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS

... For example, both Z and F [X], where F is a field, have Krull dimension 1, meaning the maximum length of all chains of prime ideals in these rings is 1. For Z , every prime number is a generator of a prime ideal. ... See full document

35

Exchange rings having stable range one

Exchange rings having stable range one

... 2. Unit-regularity. Let M be a proper ideal of R. In [4, Theorem 3], V. P. Camillo and H.-P. Yu showed that an exchange ring R has stable range one if and only if every regular element of R is unit-regular. Now we extend ... See full document

8

Efficient Large Sparse Arrays Synthesis by Means of Smooth Re-Weighted L1 Minimization

Efficient Large Sparse Arrays Synthesis by Means of Smooth Re-Weighted L1 Minimization

... 718 elements array of [39]; this sparse array is able to radiate a pattern with a side lobe level lower than ...597 elements organized in 12 rings ...radiating elements number of about 17% ... See full document

14

Whitehead groups of exchange rings with primitive factors artinian

Whitehead groups of exchange rings with primitive factors artinian

... Clearly, the conditions above are stronger than the stable range one condition and can be viewed as a generalization of rings with many idempotents [4]. Call R a ring with many unit-regular elements if the ... See full document

6

Maximal elements and their group-like set

Maximal elements and their group-like set

... maximal elements of Q with domain D equipped with the above partial binary operation o , with the distinguished element 1 = ( 0 , 0 , 0 ) and the involution x a x − 1 , is a group-like set isomorphic to the ... See full document

8

Nilpotent Elements in Skew Polynomial Rings

Nilpotent Elements in Skew Polynomial Rings

... -compatible but it is not weak ( , )   -compatible. Thus a nil- ( , )   -compatible ring is a true generalization of a weak ( , )   -compatible ring (and hence ( , )   - compatible ring). We then can find various ... See full document

16

Rings with involution whose symmetric elements are central

Rings with involution whose symmetric elements are central

... The classification of such rings which are 2-torsion free is equivalent to the classification of Lie algebras.. that is symmetric, invariant and satisfies If.[r] ... See full document

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