Canonical characters on quasi-symmetric functions and bivariate Catalan numbers.
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Aguiar, Marcelo, Hsiao, Samuel K. (2005)
The Electronic Journal of Combinatorics [electronic only]
Yves Gérard (1982)
Publications du Département de mathématiques (Lyon)
Angel del Río (1992)
Publicacions Matemàtiques
Let G be a group, R a G-graded ring and X a right G-set. We study functors between categories of modules graded by G-sets, continuing the work of [M]. As an application we obtain generalizations of Cohen-Montgomery Duality Theorems by categorical methods. Then we study when some functors introduced in [M] (which generalize some functors ocurring in [D1], [D2] and [NRV]) are separable. Finally we obtain an application to the study of the weak dimension of a group graded ring.
Rüdiger Göbel, José L. Rodríguez, Lutz Strüngmann (2012)
Fundamenta Mathematicae
In this paper we improve recent results dealing with cellular covers of R-modules. Cellular covers (sometimes called colocalizations) come up in the context of homotopical localization of topological spaces. They are related to idempotent cotriples, idempotent comonads or coreflectors in category theory. Recall that a homomorphism of R-modules π: G → H is called a cellular cover over H if π induces an isomorphism , where π⁎(φ) = πφ for each (where maps are acting on the left). On the one hand,...
John Dauns (1989)
Semigroup forum
Agayev, Nazim, Güngöroğlu, Gonca, Harmanci, Abdullah, Halicioğlu, S. (2011)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Lieven Le Bruyn, M. Van den Bergh (1996)
Mathematische Zeitschrift
Yoichi Miyashita (1984)
Mathematische Zeitschrift
Luisa Carini (1987)
Rendiconti del Seminario Matematico della Università di Padova
Joso Vukman (1997)
Commentationes Mathematicae Universitatis Carolinae
The purpose of this paper is to investigate identities satisfied by centralizers on prime and semiprime rings. We prove the following result: Let be a noncommutative prime ring of characteristic different from two and let and be left centralizers on . Suppose that is fulfilled for all . If
Joso Vukman (2001)
Commentationes Mathematicae Universitatis Carolinae
The main result: Let be a -torsion free semiprime ring and let be an additive mapping. Suppose that holds for all . In this case is a centralizer.
Asif Ali, Tariq Shah (2008)
Matematički Vesnik
Xinfeng Liang, Feng Wei, Ajda Fošner (2019)
Czechoslovak Mathematical Journal
Let be a commutative ring, be a generalized matrix algebra over with weakly loyal bimodule and be the center of . Suppose that is an -bilinear mapping and that is a trace of . The aim of this article is to describe the form of satisfying the centralizing condition (and commuting condition ) for all . More precisely, we will revisit the question of when the centralizing trace (and commuting trace) has the so-called proper form from a new perspective. Using the aforementioned...
Antonio J. Calderón Martín, Boubacar Dieme (2021)
Communications in Mathematics
Let and be two pointed sets. Given a family of three maps , this family provides an adequate decomposition of as the orthogonal disjoint union of well-described -invariant subsets. This decomposition is applied to the structure theory of graded involutive algebras, graded quadratic algebras and graded weak -algebras.
Ahsanullah, T.M.G., Al-Thukair, Fawzi A. (1995)
International Journal of Mathematics and Mathematical Sciences
An, Runling, Hou, Jinchuan (2010)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Ruju Zhao, Hua Yao, Junchao Wei (2020)
Czechoslovak Mathematical Journal
We give some sufficient and necessary conditions for an element in a ring to be an EP element, partial isometry, normal EP element and strongly EP element by using solutions of certain equations.
Hans Weber (1979)
Mathematische Annalen
Kwaśniewski, A. K. (1985)
Proceedings of the Winter School "Geometry and Physics"
Luzius Grunenfelder (1984)
Mathematische Zeitschrift
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