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Euclidean Jordan Algebras and Interior-point Algorithms

Positivity, 1997
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Amalgamation in Varieties of Pseudo-interior Algebras

Studia Logica, 2003
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Interior L p -Estimates for Functions in Clifford Type Algebras

Advances in Applied Clifford Algebras, 2014
The authors are reseaching boundary estimates of generalized monogenic functions whose image is in a Clifford-type algebra. A Clifford type of algebra is generated by elements \(e_{j}\) satisfying the rules \( e_{j}^{2}=-\alpha _{j}\) and \(e_{j}e_{i}+e_{j}e_{i}=2\gamma _{ij}\) for some real parameters \(\alpha _{j}\) and \(\gamma _{ij}=\gamma _{ji}\) .
Ariza, Eusebio   +3 more
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D-algebras and DG-interior algebras

1999
Following Bernhard Keller [13], a differential Z -graded O-algebra or, in short, a D-algebra is an O-algebra A endowed with a differential Z-graded O-module structure (see Remark 10.5 above) such that the product map A ⊗o A → A is D-linear or, equivalently, such that, for any a, a’ ∈ A and any ∈ℱ,we have (cf. 10.2.3) (11.1.1) .
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Interior and closure operators on commutative basic algebras

Mathematica Slovaca, 2017
Abstract Commutative basic algebras are non-associative generalizations of MV-algebras and form an algebraic semantics of a non-associative generalization of the propositional infinite-valued Łukasiewicz logic. In the paper we investigate additive closure and multiplicative interior operators on commutative basic algebras as a ...
Rachůnek, Jiří, Svoboda, Zdeněk
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Hecke OG-interior algebras and noninjective induction

1999
Let G and G’ be finite groups, H .. a subgroup of G × G’ and B .. an O H ..-interior algebra. For a suitable choice of H .. and B .., the O G-interior algebra \(Ind_{{H^{..}}}^{G \times G'}\left( {{B^{..}}} \right)1 \times G'\) plays a crucial role in the analysis of Morita equivalences between blocks, as we show in Section 6 below.
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Induction of DG-interior algebras

1999
In this section we extend to DG-interior algebras - from now on, all the DG- or OG-interior algebras we consider are O-finite and we omit to write it - what has been done for OG-interior algebras in Section 3 above. That is to say, let G and G’ be finite groups, φ : G → G’a group homomorphism and A a DG-interior algebra; here we construct the induced ...
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Algebraic Interior and Separation on Linear Vector Spaces: Some Comments

Journal of Optimization Theory and Applications, 2013
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Kiyani, Elham, Soleimani-Damaneh, Majid
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Interior Multiplications and Deformations with Meson Algebras

Advances in Applied Clifford Algebras, 2008
A meson algebra is involved in the Duffin wave equation for mesons in the same way as a Clifford algebra is involved in the Dirac wave equation for electrons. Therefore meson algebras too should have geometrical properties after the manner of Grassmann. Actually it is possible to define interior multiplications with similar properties, and deformations
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On the cover relationship for local interior G-algebras

Journal of Mathematical Sciences, 2009
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