Results 31 to 40 of about 20,979 (232)
TASK Quarterly, 2017 We consider a generalization of the projection operator method for the case of the Cauchy problem in 1D space for systems of evolution differential equations of first order with variable coefficients.
SERGEY LEBLE, IRINA VERESHCHAGINA
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Primitive orthogonal idempotents for R-trivial monoids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We construct a recursive formula for a complete system of primitive orthogonal idempotents for any R-trivial monoid. This uses the newly proved equivalence between the notions of R-trivial monoid and weakly ordered monoid.
Chris Berg +3 more
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2007 IEEE International Fuzzy Systems Conference, 2007 This paper deals with aggregation operators. A new class of aggregation operators, called asymptotically idempotent, is introduced. A generalization of the basic notion of aggregation operator is provided, with an in-depth discussion of the notion of idempotency.
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A Note on Commutative Nil-Clean Corners in Unital Rings
Известия Иркутского государственного университета: Серия "Математика", 2019 We shall prove that if $R$ is a ring with a family of orthogonal idempotents $\{e_i\}_{i=1}^n$ having sum $1$ such that each corner subring $e_iRe_i$ is commutative nil-clean, then $R$ is too nil-clean, by showing that this assertion is actually ...
P.V. Danchev
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Idempotents of Clifford Algebras
, 2003 A classification of idempotents in Clifford algebras C(p,q) is presented. It is shown that using isomorphisms between Clifford algebras C(p,q) and appropriate matrix rings, it is possible to classify idempotents in any Clifford algebra into continuous ...
Ablamowicz, R. +3 more
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Singular matrices that are products of two idempotents or products of two nilpotents
Special Matrices, 2021 Over commutative domains we characterize the singular 2 × 2 matrices which are products of two idempotents or products of two nilpotents. The relevant casees are the matrices with zero second row and the singular matrices with only nonzero entries.
Călugăreanu Grigore
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Variety of idempotents in nonassociative algebras
, 2018 In this paper, we study the variety of all nonassociative (NA) algebras from the idempotent point of view. We are interested, in particular, in the spectral properties of idempotents when algebra is generic, i.e. idempotents are in general position.
A Matsuo +14 more
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Journal of Algebra, 1999 The Milnor-Moore theorem says that in characteristic zero, any connected graded cocommutative bialgebra \(A\) is canonically isomorphic to the enveloping bialgebra of the Lie algebra of its primitive elements \(\text{Prim}(A)\). There is a weaker form known as the Leray theorem, whose dual statement is that any retract of the vector space inclusion of \
Patras, Frédéric +1 more
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Representation theory of the higher order peak algebras
, 2009 The representation theory (idempotents, quivers, Cartan invariants and Loewy series) of the higher order unital peak algebras is investigated. On the way, we obtain new interpretations and generating functions for the idempotents of descent algebras ...
Novelli, Jean-Christophe +2 more
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Idempotent 2x2 matrices over linearly ordered abelian groups [PDF]
Categories and General Algebraic Structures with ApplicationsIn this paper we study multiplicative semigroups of $2\times 2$ matrices over a linearly ordered abelian group with an externally added bottom element. The multiplication of such a semigroup is defined by replacing addition and multiplication by join and
Valdis Laan, Marilyn Kutti
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