Results 181 to 190 of about 150,415 (331)
Non-Commutative Formal Groups In Positive Characterstic [PDF]
arXiv, 2006 We describe geometric non-commutative formal groups in terms of a geometric commutative formal group with a Poisson structure on its splay algebra. We describe certain natural properties of such Poisson structures and show that any such Poisson structure gives rise to a non-commutative formal group.
arxiv
Discrete subgroups of normed spaces are free
Bulletin of the London Mathematical Society, EarlyView.Abstract Ancel, Dobrowolski and Grabowski (Studia Math. 109 (1994): 277–290) proved that every countable discrete subgroup of the additive group of a normed space is free Abelian, hence isomorphic to the direct sum of a certain number of copies of the additive group of the integers.
Tomasz Kania, Ziemowit Kostana
wiley +1 more source
More on five commutator identities [PDF]
arXiv, 2007 It is proved that the five well-known identities universally satisfied by commutators in a group generate all universal commutator identities for commutators of weight 4.
arxiv
Preservation for generation along the structure morphism of coherent algebras over a scheme
Bulletin of the London Mathematical Society, EarlyView.Abstract This work demonstrates classical generation is preserved by the derived pushforward along the structure morphism of a noncommutative coherent algebra to its underlying scheme. Additionally, we establish that the Krull dimension of a variety over a field is a lower bound for the Rouquier dimension of the bounded derived category associated with
Anirban Bhaduri, Souvik Dey, Pat Lank
wiley +1 more source
Concerning the commutator subgroups of groups whose orders are powers of primes [PDF]
, 1902 William Benjamin Fite
openalex +1 more source
The Picard group in equivariant homotopy theory via stable module categories
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
wiley +1 more source
Division properties of commuting polynomials [PDF]
arXivPolynomials commute under composition are referred to as commuting polynomials. In this paper, we study division properties for commuting polynomials with rational (and integer) coefficients. As a consequence, we show an algebraic particularity of the commuting polynomials coming from weighted sums for cycle graphs with pendant edges (arXiv:2402 ...
arxiv
Advanced Science, Volume 12, Issue 13, April 3, 2025.The anterior piriform cortex (APC) exhibits distinct neural firings and calcium transients in response to familiar and novel mice, with a more robust response to the novel one. Selectively inhibiting APC pyramidal neurons disrupt social novelty recognition without impairing basic odor discrimination.
Jingwei Zhou +10 more
wiley +1 more source
On the values of commutativity degree of Lie algebras [PDF]
arXivIn this paper, the possible values of commutativity degree of Lie algebras are determined. Also, we define the asymptotic commutativity degree of Lie algebras and obtain the asymptotic commutativity degree for some of them. Moreover, we prove the existence of a family of Lie algebras such that the asymptotic commutativity degree is equal to 1\qk for ...
arxiv