Results 51 to 60 of about 77,290 (197)
, 2016 Different versions of the notion of a state have been formulated for various so-called quantum structures. In this paper, we investigate the interplay among states on synaptic algebras and on its sub-structures.
Foulis, David J. +2 more
core +1 more source
Some conditions under which Jordan derivations are zero
Journal of Taibah University for Science, 2017 In the current article, we obtain the following results: Let A be an algebra and P be a semi-prime ideal of A. Suppose that d:Aâ(A/P) is a Jordan derivation such that dim{d(a)|aâA}â¤1. If d(P)={0}, then d is zero.
Z. Jokar, A. Hosseini, A. Niknam
doaj +1 more source
State Spaces of Jordan Algebras [PDF]
Acta Mathematica, 1978 In this chapter we will discuss properties of the normal state space of JBW-algebras. Since every JB-algebra state space is also the normal state space of a JBW-algebra (Corollary 2.61), these properties also apply to JB-algebra state spaces.
Alfsen, Erik M., Shultz, Frederic W.
openaire +3 more sources
On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
On the constructions of Tits and Faulkner: an isomorphism theorem
International Journal of Mathematics and Mathematical Sciences, 2001 Classification theory guarantees the existence of an isomorphism between any two E8's, at least over an algebraically closed field of characteristic 0.
Sudhir R. Nath
doaj +1 more source
Dimensionally nilpotent Jordan algebras [PDF]
Proceedings of the American Mathematical Society, 1992 An algebra A A of dimension n n is called dimensionally nilpotent if it has a nilpotent derivation ∂ \partial with the property that ∂ n − 1 ≠ 0 {\partial ^{n - 1}} \ne ...
openaire +2 more sources
On conformal Jordan cells of finite and infinite rank
, 2004 This work concerns in part the construction of conformal Jordan cells of infinite rank and their reductions to conformal Jordan cells of finite rank. It is also discussed how a procedure similar to Lie algebra contractions may reduce a conformal Jordan ...
I. Bakas +6 more
core +1 more source
Survey‐Based Research for Creativity and Innovation Management: Review and Recommendations
Creativity and Innovation Management, Volume 35, Issue 2, Page 395-410, June 2026.ABSTRACT Survey methodology remains a widely used data collection method in creativity and innovation management studies. However, evolving technological advancements and methodological challenges necessitate a reassessment of best practices to benefit the most from it.
Marco Mismetti +2 more
wiley +1 more source
Journal of Mathematics, 2021 The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square-zero elements.
Xiuhai Fei, Haifang Zhang
doaj +1 more source
Isotopisms of Jordan Algebras [PDF]
Proceedings of the American Mathematical Society, 1969 R. H. Oehmke and R. Sandler have shown in [4] that the middle nucleus of a finite-dimensional semisimple Jordan algebra coincides with its center providing the base field has a characteristic different from 2. By the middle nucleus of a commutative algebra A we mean the set of those elements x in A, for which the associator (y, x, z) = (yx)z-y(xz ...
openaire +2 more sources