Cellular algebras.
G.I. Lehrer, J.J. Graham (1996)
Inventiones mathematicae
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G.I. Lehrer, J.J. Graham (1996)
Inventiones mathematicae
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Ewa Graczyńska, Andrzej Wroński (1978)
Colloquium Mathematicum
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Daniel W. Stroock (1976)
Colloquium Mathematicae
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Arzumanyan, V.A. (2005)
Zapiski Nauchnykh Seminarov POMI
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Cedilnik, A. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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G. Grätzer, J. Sichler (1974)
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Marcus Tressl (2002)
Banach Center Publications
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Kazimierz Urbanik (1969)
Colloquium Mathematicum
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Christoph Bandt (1979)
Colloquium Mathematicae
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Leon Henkin, Diane Resek (1975)
Fundamenta Mathematicae
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T. P. Speed (1971)
Colloquium Mathematicae
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Tarek Sayed Ahmed (2002)
Fundamenta Mathematicae
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SC, CA, QA and QEA stand for the classes of Pinter's substitution algebras, Tarski's cylindric algebras, Halmos' quasipolyadic algebras and Halmos' quasipolyadic algebras with equality, respectively. Generalizing a result of Andréka and Németi on cylindric algebras, we show that for K ∈ SC,QA,CA,QEA and any β > 2 the class of 2-dimensional neat reducts of β-dimensional algebras in K is not closed under forming elementary subalgebras, hence is not elementary. Whether this result extends...
R. Beazer (1974)
Colloquium Mathematicae
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Anthony C. Kable, Heather Russell, Nilabh Sanat (2006)
Acta Arithmetica
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Flávio U. Coelho, Ma. I. R. Martins, Bertha Tomé (2004)
Colloquium Mathematicae
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We study the simple connectedness and strong simple connectedness of the following classes of algebras: (tame) coil enlargements of tame concealed algebras and n-iterated coil enlargement algebras.
Lidia Obojska, Andrzej Walendziak (2020)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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This paper presents some generalizations of BCI algebras (the RM, tRM, *RM, RM**, *RM**, aRM**, *aRM**, BCH**, BZ, pre-BZ and pre-BCI algebras). We investigate the p-semisimple property for algebras mentioned above; give some examples and display various conditions equivalent to p-semisimplicity. Finally, we present a model of mereology without antisymmetry (NAM) which could represent a tRM algebra.