Split Extensions and Actions of Bialgebras and Hopf Algebras
Sign Up to like & getrecommendations! Published in 2021 at "Applied Categorical Structures"
DOI: 10.1007/s10485-021-09659-5
Abstract: We introduce a notion of split extension of (non-associative) bialgebras. We show that this definition is equivalent to the notion of action of (non-associative) bialgebras. We particularize this equivalence to (non-associative) Hopf algebras by defining… read more here.
Keywords: associative hopf; extensions actions; non associative; hopf algebras ... See more keywords
The mixed complementarity problem arising from non-associative plasticity with non-smooth yield surfaces
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2019.112756
Abstract: Abstract An elastic domain with multiple yield surfaces brings about huge troubles to numerical computations due to singularities, while non-associative plasticity leads further to the open issue of whether constitutive integration is well posed. This… read more here.
Keywords: non associative; yield surfaces; mixed complementarity; associative plasticity ... See more keywords
A class of continuous non-associative algebras arising from algebraic groups including $E_8$
Sign Up to like & getrecommendations! Published in 2021 at "Forum of Mathematics, Sigma"
DOI: 10.1017/fms.2020.66
Abstract: Abstract We give a construction that takes a simple linear algebraic group G over a field and produces a commutative, unital, and simple non-associative algebra A over that field. Two attractions of this construction are… read more here.
Keywords: arising algebraic; non associative; class continuous; associative algebras ... See more keywords
A class of non-associative Nilpotent Jordan algebras
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DOI: 10.1142/s021949882150002x
Abstract: The paper is devoted to study nilpotent Jordan algebras ???? satisfying that ????/Ann(???? ) is non-associative. We show that such algebras exist iff dim ???? ≥ 6 and dim(????/Ann(???? )) ≥ 5. Also we classify,… read more here.
Keywords: class non; non associative; jordan algebras; nilpotent jordan ... See more keywords
Brain Signatures of New (Pseudo-) Words: Visual Repetition in Associative and Non-associative Contexts
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DOI: 10.3389/fnhum.2018.00354
Abstract: The contribution of two different training contexts to online, gradual lexical acquisition was investigated by event-related potentials (ERPs) elicited by new, word-like stimuli. Pseudowords were repeatedly preceded by a picture representing a well-known object (semantic-associative… read more here.
Keywords: signatures new; brain signatures; non associative; new pseudo ... See more keywords
Pirenzepine Binding Sites in the Brain of the Honeybee Apis mellifera: Localization and Involvement in Non-Associative Learning
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DOI: 10.3390/insects13090806
Abstract: Simple Summary The cholinergic system has been extensively studied in insects as the target of pesticides that affect the functioning of the nicotinic acetylcholine receptors. In the honeybee, the detrimental effects of pesticides are observed… read more here.
Keywords: non associative; brain; associative learning; pirenzepine binding ... See more keywords
AXES IN NON-ASSOCIATIVE ALGEBRAS
Sign Up to like & getrecommendations! Published in 2021 at "TURKISH JOURNAL OF MATHEMATICS"
DOI: 10.3906/mat-2109-60
Abstract: “Fusion rules” are laws of multiplication among eigenspaces of an idempotent. This terminology is relatively new and is closely related to axial algebras, introduced recently by Hall, Rehren and Shpectorov. Axial algebras, in turn, are… read more here.
Keywords: associative algebras; axes non; non associative;