Results 21 to 30 of about 91,324 (250)
Spectral and scattering theory of one-dimensional coupled photonic crystals [PDF]
We study the spectral and scattering theory of light transmission in a system consisting of two asymptotically periodic waveguides, also known as one-dimensional photonic crystals, coupled by a junction.
de Aldecoa, Rafael Tiedra +3 more
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Let G be a group generated by x and y, G 2 {G_2} be the commutator subgroup of G, and G 1 {G_1} be the group generated by y and G 2 {G_2} . This paper contains explicit expansions of
openaire +2 more sources
On central commutator Galois extensions of rings
Let B be a ring with 1, G a finite automorphism group of B of order n for some integer n, BG the set of elements in B fixed under each element in G, and Δ=VB(BG) the commutator subring of BG in B.
George Szeto, Lianyong Xue
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Commutator Leavitt path algebras [PDF]
For any field K and directed graph E, we completely describe the elements of the Leavitt path algebra L_K(E) which lie in the commutator subspace [L_K(E),L_K(E)].
AA Albert +21 more
core +1 more source
Multiple commutator formulas [PDF]
Let A be a quasi-finite R-algebra (i.e., a direct limit of module finite algebras) with identity. Let I_i, i=0,...,m, be two-sided ideals of A, \GL_n(A,I_i) the principal congruence subgroup of level I_i in GL_n(A) and E_n(A,I_i) be the relative elementary subgroup of level I_i.
Hazrat, Roozbeh (R16959), Zhang, Zuhong
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Stable commutator length vanishes in any group that obeys a ...
Calegari, Danny
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Groups with minimax commutator subgroup [PDF]
A result of Dixon, Evans and Smith shows that if $G$ is a locally (soluble-by-finite) group whose proper subgroups are (finite rank)-by-abelian, then $G$ itself has this property, i.e. the commutator subgroup of~$G$ has finite rank.
Francesco de Giovanni, Trombetti
doaj
A note on rings with certain variables identities
It is proved that certain rings satisfying generalized-commutator constraints of the form [xm,yn,yn,...,yn]=0 with m and n depending on x and y, must have nil commutator ideal.
Hazar Abu-Khuzam
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A Pair of Derivations on Prime Rings with Antiautomorphism
This article examines the commutativity of rings with antiautomorphisms, specifically when they are equipped with derivations that satisfy certain algebraic identities.
Faez A. Alqarni +4 more
doaj +1 more source
Commutators and Anti-Commutators of Idempotents in Rings
We show that a ring $\,R\,$ has two idempotents $\,e,e'\,$ with an invertible commutator $\,ee'-e'e\,$ if and only if $\,R \cong {\mathbb M}_2(S)\,$ for a ring $\,S\,$ in which $\,1\,$ is a sum of two units. In this case, the "anti-commutator" $\,ee'+e'e\
Khurana, Dinesh, Lam, T. Y.
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