Schur algebras and isomorphic division algebras
Spiegel, Eugene, Trojan, Allan (1989)
Portugaliae mathematica
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Spiegel, Eugene, Trojan, Allan (1989)
Portugaliae mathematica
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Jerzy Płonka (1966)
Fundamenta Mathematicae
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William M. McGovern (1989)
Compositio Mathematica
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Andrzej Skowroński, Kunio Yamagata (2006)
Colloquium Mathematicae
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Applying the classical work of Nakayama [Ann. of Math. 40 (1939)], we exhibit a general form of non-Frobenius self-injective finite-dimensional algebras over a field.
Vsevolod Gubarev, Pavel Kolesnikov (2013)
Open Mathematics
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Following a recent work [Bai C., Bellier O., Guo L., Ni X., Splitting of operations, Manin products, and Rota-Baxter operators, Int. Math. Res. Not. IMRN (in press), DOI: 10.1093/imrn/rnr266] we define what is a dendriform dior trialgebra corresponding to an arbitrary variety Var of binary algebras (associative, commutative, Poisson, etc.). We call such algebras di- or tri-Var-dendriform algebras, respectively. We prove in general that the operad governing the variety of di- or tri-Var-dendriform...
Charles W. Curtis, Nagoyashi Iwahori, Robert Kilmoyer (1971)
Publications Mathématiques de l'IHÉS
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Helversen-Pasotto, Anna
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[For the entire collection see Zbl 0742.00067.]In the first part some general results on Hecke algebras are recalled; the structure constants corresponding to the standard basis are defined; in the following the example of the commuting algebra of the Gelfand- Graev representation of the general linear group is examined; here is a finite field of elements; the structure constants are explicitly determined first for the standard basis and then for a new basis obtained via a Mellin-transformation....
Hisaaki Fujita (2003)
Colloquium Mathematicae
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We study associative, basic n × n𝔸-full matrix algebras over a field, whose multiplications are determined by structure systems 𝔸, that is, n-tuples of n × n matrices with certain properties.
Livingston, N.E. (2002)
International Journal of Mathematics and Mathematical Sciences
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Flaut, Cristina (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Aldo V. Figallo, Inés Pascual, Gustavo Pelaitay (2020)
Bulletin of the Section of Logic
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In 2015, tense n × m-valued Lukasiewicz–Moisil algebras (or tense LMn×m-algebras) were introduced by A. V. Figallo and G. Pelaitay as an generalization of tense n-valued Łukasiewicz–Moisil algebras. In this paper we continue the study of tense LMn×m-algebras. More precisely, we determine a Priestley-style duality for these algebras. This duality enables us not only to describe the tense LMn×m-congruences on a tense LMn×m-algebra, but also to characterize the simple and subdirectly irreducible...