Results 21 to 30 of about 1,587,400 (284)
Radical embeddings and representation dimension
Advances in Mathematics, 2004 Given a representation-finite algebra B and a subalgebra A of B such that the Jacobson radicals of A and B coincide, we prove that the representation dimension of A is at most three. By a result of Igusa and Todorov, this implies that the finitistic dimension of A is finite.
Erdmann, K +3 more
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Knowledge Graph Question-Answering Based on Joint Location and Attention Representation [PDF]
Jisuanji gongcheng, 2022 Knowledge graph is an important part of artificial intelligence.It describes the concepts, entities, and relationships in the objective world in a structured way and provides a better ability to organize, manage, and understand the massive amount of ...
WU Tianbo, ZHOU Xin, CHENG Junjun, ZHU Han, HE Xiaohai
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Generalized trace and modified dimension functions on ribbon categories [PDF]
, 2010 In this paper we use topological techniques to construct generalized trace and modified dimension functions on ideals in certain ribbon categories. Examples of such ribbon categories naturally arise in representation theory where the usual trace and ...
Geer, Nathan +2 more
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Star metric dimension of complete, bipartite, complete bipartite and fan graphs
International Journal of Trends in Mathematics Education Research, 2022 One of the topics in graph theory that is interesting and developed continuously is metric dimension. It has some new variation concepts, such as star metric dimension.
Reni Umilasari +2 more
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Lower bounds for Auslander's representation dimension [PDF]
Duke Mathematical Journal, 2009 The author presents a new method to obtain lower bounds for the representation dimension of a finite dimensional algebra \(A\) over a field. Rouquier defined the dimension of a triangulated category by the number of cones necessary to reach every object, up to translation, from a single object. The author generalizes this concept to subcategories, e.g.
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The Quantum Skyrmion in Representations of General Dimension [PDF]
, 1996 The representations of general dimension are constructed for the $SU(2)$ Skyrme model, treated quantum mechanically {\it ab initio. } This quantum Skyrme model has a negative mass term correction, that is not present in the classical Hamiltonian.
A. Acus +14 more
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IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2021 Recently, graph-embedding framework has been developed for dimensionality reduction (DR) and classification of hyperspectral images (HSI). However, it suffers from intraclass difference and interclass similarity in complex scenarios.
Huan Liu +4 more
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Robust Face Recognition Via Gabor Feature and Sparse Representation
ITM Web of Conferences, 2016 Sparse representation based on compressed sensing theory has been widely used in the field of face recognition, and has achieved good recognition results.
Hao Yu-Juan, Zhang Li-Quan
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Remote Sensing, 2023 The reconstruction of 3D shapes from a single view has been a longstanding challenge. Previous methods have primarily focused on learning either geometric features that depict overall shape contours but are insufficient for occluded regions, local ...
Guoqing Gao +5 more
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Finiteness of representation dimension [PDF]
Proceedings of the American Mathematical Society, 2002 In representation theory, Artin algebras are divided naturally into two classes: the class of representation-finite algebras and the class of representation-infinite algebras. The former one has understood much better. To understand the later, there are many ways developed in the last decades.
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