Results 21 to 30 of about 17,323 (202)
Projective Essential Idempotents
IEEE Transactions on Information Theory, 2023 <p>This paper introduces the concept of projective essential idempotents. These are primitive central idempotents in a twisted group algebra. The first main result provides conditions for the existence of them. In the second main result, we prove that every $q$-ary simplex code can be seen as an ideal of a twisted group algebra generated by a ...
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Some homological aspects of idempotents in idempotented algebras [PDF]
Communications in Algebra, 2020 We study special idempotents (as described by Bushnell and Kutzko) and split idempotents in the context of module and derived categories for idempotented algebras. We then characterize these concepts for path algebras of quivers.
Arnab Mitra, Rishi Vyas
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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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Order 3 elements in G2 and idempotents in symmetric composition algebras [PDF]
, 2017 Order three elements in the exceptional groups of type G2 are classified up to conjugation over arbitrary fields. Their centralizers are computed, and the associated classification of idempotents in symmetric composition algebras is obtained. Idempotents
Elduque, Alberto
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On determinability of idempotent medial commutative quasigroups by their endomorphism semigroups; pp. 81–87 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 We extend the result of P. Puusemp (Idempotents of the endomorphism semigroups of groups. Acta Comment. Univ. Tartuensis, 1975, 366, 76â104) about determinability of finite Abelian groups by their endomorphism semigroups to finite idempotent medial ...
Alar Leibak, Peeter Puusemp
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On Ordered Regular Semigroups with a Zero Element [PDF]
Mathematics Interdisciplinary Research, 2022 In this paper, we study several conditions on ordered regular semigroups containing a zero element. In particular, we consider the natural and semigroup order and their connections to the properties of being principally ordered, Dubreil-Jacotin and BZS ...
Goncalo Pinto
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On Idempotent Discrete Uninorms [PDF]
, 2017 Dans cet article, nous donnons deux axiomatisations de la classe des uninormes discrètes idempotentes en tant qu'opérations binaires conservatives, où une opération est conservative si elle renvoie toujours la valeur prise par l'une de ses variables. Plus précisément, nous montrons d'abord que les uninormes discrètes idempotentes sont exactement les ...
Couceiro, Miguel +2 more
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Idempotents and structures of rings
, 2016 We study a ring containing a complete set of orthogonal idempotents as a generalized matrix ring via its Peirce decomposition. We focus on the case where some of the underlying bimodule homomorphisms are zero.
Anh, P. N. +2 more
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Nice connecting paths in connected components of sets of algebraic elements in a Banach algebra [PDF]
, 2016 Generalizing earlier results about the set of idempotents in a Banach algebra, or of self-adjoint idempotents in a $C^*$-algebra, we announce constructions of nice connecting paths in the connected components of the set of elements in a Banach algebra ...
Makai, Jr., E., Zemánek, Jaroslav
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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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