Results 31 to 40 of about 14,662,735 (117)
Algebra and technology: Emerging issues
, 2001 Although there are a number of technologies related to school algebra, it is only the personal technology of the graphics calculator that seems likely to be available widely enough to influence curriculum design and implementation on a large scale.
Kissane, B.
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Representations up to homotopy of Lie algebroids [PDF]
, 2011 We introduce and study the notion of representation up to homotopy of a Lie algebroid, paying special attention to examples. We use representations up to homotopy to define the adjoint representation of a Lie algebroid and show that the resulting ...
Marius Crainic +7 more
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Graphics calculators and algebra
, 1999 The personal technology of the graphics calculator is presently the only one likely to be available widely enough to influence curriculum design and implementation on a large scale.
Kissane, B.
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, 2014 A C- algebra is the algebraic form of the 3-valued conditional logic, which was introduced by F. Guzman and C.C. Squier in 1990. In this paper, some equivalent conditions for a C- algebra to become a boolean algebra in terms of congruences are given.
Rao, Guddati C., Sundarayya, Perumali
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Boundary Algebra: A Simple Notation for Boolean Algebra and the Truth Functors [PDF]
Boundary algebra [BA] is a simpler notation for Spencer-Brown’s (1969) primary algebra [pa], the Boolean algebra 2, and the truth functors. The primary arithmetic [PA] consists of the atoms ‘()’ and the blank page, concatenation, and enclosure between ‘(‘
Philip Meguire
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Representations of the marked Brauer algebra [PDF]
, 2017 The marked Brauer algebra is a generalization of the diagrammatic Brauer algebra which diagrammatizes Moon's centralizer algebra for the type \mathfrak{p} Lie superalgebra.
Tharp, Benjiman
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Decompositions of a C-algebra [PDF]
, 2006 We prove that if A is a C-algebra, then for each a∈A, Aa={x∈A/x≤a} is itself a C-algebra and is isomorphic to the quotient algebra A/θa of A where θa={(x,y)∈A×A/a∧x=a∧y}.
G. C. Rao, P. Sundarayya
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A Cartan-Eilenberg approach to Homotopical Algebra
, 2010 In this paper we propose an approach to homotopical algebra where the basic ingredient is a category with two classes of distinguished morphisms: strong and weak equivalences.
Navarro, Vicenç (Navarro Aznar) +8 more
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Semantic Constructions for Hidden Algebra
, 1998 Hidden algebra is a behavioural algebraic specification formalism for objects. It captures their constructional aspect, concerned with the initialisation and evolution of their states, as well as their observational aspect, concerned with the observable ...
Cirstea, Corina
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Root vectors of the composition algebra of the Kronecker algebra
, 2004 According to the canonical isomorphism between the positive part Uq⁺(g) of the Drinfeld–Jimbo quantum group Uq(g) and the generic composition algebra C(∆) of Λ, where the Kac–Moody Lie algebra g and the finite dimensional hereditary algebra Λ have ...
Chen, X.
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