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Reliability as Projection in Operator-Theoretic Test Theory: Conditional Expectation, Hilbert Space Geometry, and Implications for Psychometric Practice. [PDF]

Educ Psychol Meas
Zumbo BD.
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Regular logarithmic connections. [PDF]

Math Ann
Achinger P.
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Optimal hyperdimensional representation for learning and cognitive computation. [PDF]

Front Artif Intell
Poduval PP, Errahmouni Barkam H, Liu X, Yun S, Ni Y, Zou Z, Bastian ND, Imani M.   +7 more
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Twist Fields in Many-Body Physics. [PDF]

Entropy (Basel)
Doyon B.
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Experimental realization of para-particle oscillators. [PDF]

Sci Rep
Huerta Alderete C, Green AM, Nguyen NH, Zhu Y, Rodríguez-Lara BM, Linke NM.   +5 more
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Quasi-Hereditary Extension Algebras

Algebras and Representation Theory, 2003
Quasi-hereditary algebras \(A\) have finite global dimension. Thus their `homological dual', that is, the Yoneda extension algebra of the sum \(L\) of simple modules, \(B=\text{Ext}^*_A(L,L)\), again is a finite dimensional algebra. In some of the most prominent classes of quasi-hereditary algebras, such as Schur algebras or blocks of category ...
Ágoston, István, Dlab, Vlastimil, Lukács, Erzsébet   +2 more
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UNRAMIFIED ALGEBRAIC EXTENSIONS OF COMMUTATIVE BANACH ALGEBRAS

Mathematics of the USSR-Sbornik, 1973
Extensions of a commutative Banach algebra A by means of roots of polynomials over A with invertible discriminant are investigated. In the case when A has no nontrivial idempotent, for each such polynomial ƒ a Banach algebra Aƒ, which plays the role of a minimal splitting algebra, is constructed.
Zjuzin, Ju. V., Lin, V. Ja.
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Algebraic extensions of semifields

Russian Mathematical Surveys, 2004
A semifield is a semiring \((D,+,\bullet)\) such that each nonzero element is invertible with repect to multiplication and is not invertible with respect to addition. In this paper, the author examines the possibility of extending a semifield by a root of an algebraic equation. Let \(D\) denote a semifield. Then \(D\) is called idempotent (cancellable)
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The extension algebra

International Journal of Mathematical Education in Science and Technology, 1989
In this paper the concept of an extension subset is introduced. Some operations of an extension subset are studied, the concept of an extension algebra is presented, and fuzzy algebra is proved to be isomorphic to a proper subalgebra of an extension algebra.
Wang Hongxu, Zhang Hongchen
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Ore Extensions of Hopf Algebras

Mathematical Notes, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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