Results 21 to 30 of about 91,324 (250)

Spectral and scattering theory of one-dimensional coupled photonic crystals [PDF]

open access: yes, 2019
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
core   +2 more sources

Counting Commutators [PDF]

open access: yesTransactions of the American Mathematical Society, 1974
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
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
doaj   +1 more source

Commutator Leavitt path algebras [PDF]

open access: yes, 2012
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]

open access: yesIsrael Journal of Mathematics, 2012
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
openaire   +4 more sources

Quasimorphisms and laws [PDF]

open access: yes, 2010
Stable commutator length vanishes in any group that obeys a ...
Calegari, Danny
core   +2 more sources

Groups with minimax commutator subgroup [PDF]

open access: yesInternational Journal of Group Theory, 2014
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1989
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
doaj   +1 more source

A Pair of Derivations on Prime Rings with Antiautomorphism

open access: yesMathematics, 2023
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

open access: yes, 2018
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.
core   +1 more source

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