Universal Algebras $${\mathcal{U}(V,Q)}$$U(V,Q) for Quadratic Mappings $${Q:V \rightarrow V}$$Q:V→V
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-016-0707-5
Abstract: Let V be a vector space, and Q a quadratic mapping $${V \rightarrow V}$$V→V. This article studies the (universal) algebra $${\mathcal{U}(V,Q)}$$U(V,Q) generated by the elements $${v \in V}$$v∈V with the relations $${v^2=Q(v)}$$v2=Q(v). The properties of… read more here.
Keywords: algebras mathcal; mapping; mappings rightarrow; universal algebras ... See more keywords
C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems
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DOI: 10.1016/j.aim.2022.108286
Abstract: A cosystem consists of a possibly nonselfadoint operator algebra equipped with a coaction by a discrete group. We introduce the concept of C*-envelope for a cosystem; roughly speaking, this is the smallest C*-algebraic cosystem that… read more here.
Keywords: algebra; product systems; coaction; envelope ... See more keywords
Graded polynomial identities as identities of universal algebras
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DOI: 10.1016/j.laa.2018.10.006
Abstract: Abstract Let A and B be finite-dimensional simple algebras with arbitrary signature over an algebraically closed field. Suppose A and B are graded by a semigroup S so that the graded identical relations of A… read more here.
Keywords: identities identities; polynomial identities; universal algebras; graded polynomial ... See more keywords
Annihilators in Universal Algebras: A New Approach
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DOI: 10.1155/2020/1469727
Abstract: The purpose of this paper is to study annihilators and annihilator ideals in a more general context; in universal algebras. read more here.
Keywords: new approach; universal algebras; annihilators universal; algebras new ... See more keywords
Alpha Ideals and the Space of Prime Alpha Ideals in Universal Algebras
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DOI: 10.1155/2021/4045182
Abstract: The purpose of this paper is to study - ideals in a more general context, in universal algebras having a constant . Several characterizations are obtained for an ideal of an algebra to be an… read more here.
Keywords: space prime; alpha ideals; universal algebras; ideals space ... See more keywords