Results 71 to 80 of about 149 (98)

plyranges: a grammar of genomic data transformation. [PDF]

Genome Biol, 2019
Lee S, Cook D, Lawrence M.
europepmc   +1 more source

Several supplementary concepts for applied category-theoretical states over an extended Petri net using an example relating to genetic coding: Toward an abstract algebraic formulation of molecular/genetic biology. [PDF]

PLoS One
Sawamura J, Morishita S, Ishigooka J.
europepmc   +1 more source

On the Direct Decomposition of Nilpotent Expanded Groups. [PDF]

Commun Algebra, 2014
Aichinger E.
europepmc   +1 more source

Sets of lengths in maximal orders in central simple algebras.

J Algebra, 2013
Smertnig D.
europepmc   +1 more source

A universal scaling law for mitotic spindles across eukaryotes driven by chromosome crowding

Gudlin L, Vukušić K, Novak M, Trupinić M, Ljulj M, Dundović I, Petelinec A, Petrušić L, Hertel A, van Ravesteyn T, Trakala M, Kops GJPL, Storchová Z, Tambača J, Pavin N, Tolić IM.   +15 more
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Alternative algebras which are L-isomorphic to a central division Cayley-Dickson algebra of characteristic 2

, 1988
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On central division algebras

Israel Journal of Mathematics, 1972
For any integern such that 8|n or for which there exists an odd primeq such thatq 2|n, there is a central division algebra of dimensionn 2 over its center which is not a crossed product. The algebra constructed in this paper is the algebraQ(X 1,…,X)m, the algebra generated over the rationalQ bym(≧2) generic matrices.
S A Amitsur, Amitsur S A
exaly   +2 more sources

The double centralizer theorem for division algebras

Israel Journal of Mathematics, 1983
Die Autoren beweisen den folgenden Satz: Sei D ein Körper mit Zentrum F, \(T\in M_ n(D)\) algebraisch über F. Dann ist der Doppelzentralisator C(C(T)) von T in \(M_ n(D)\) gleich F[T]. Der Beweis geht wie im kommutativen Fall aus von dem Modul \({}_ RV\) über dem Hauptidealring \(R=D[X]\), wobei \({}_ DV\) ein Vektorraum der Dimension n ist und X wie ...
Armendariz, Efraim P., Park, Jae Keol
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Biquaternion division algebras and fourth power-central elements

Journal of Pure and Applied Algebra, 2022
This paper concerns the conditions under which a bi-quaternion algebra is a cyclic algebra (of degree 4) over its center. When \(F\) is a field of \(\operatorname{char}(F)=2\), it is known that every bi-quaternion algebra is a cyclic algebra [\textit{A. A. Albert}, Am. J. Math. 56, 75--86 (1934; Zbl 0008.24202)].
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