Semi-categorical algebras. I. Semi-primal algebras.
Alfred L. Foster, Alden Pixley (1964)
Mathematische Zeitschrift
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Alfred L. Foster, Alden Pixley (1964)
Mathematische Zeitschrift
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D. James Samuelson (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Witold Kraśkiewicz (2001)
Colloquium Mathematicae
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We prove that for algebras obtained by tilts from the path algebras of equioriented Dynkin diagrams of type Aₙ, the rings of semi-invariants are polynomial.
Robert W. Quackenbusch (1971)
Mathematische Zeitschrift
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Evelyn Nelson (1974)
Colloquium Mathematicae
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Sequeira, Margarida (1988)
Portugaliae mathematica
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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...
Bernhard Banaschewski, Evelyn Nelson (1973)
Colloquium Mathematicae
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Tahsin Oner, Ibrahim Senturk (2017)
Open Mathematics
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In this study, a term operation Sheffer stroke is presented in a given basic algebra 𝒜 and the properties of the Sheffer stroke reduct of 𝒜 are examined. In addition, we qualify such Sheffer stroke basic algebras. Finally, we construct a bridge between Sheffer stroke basic algebras and Boolean algebras.
Helmut Röhrl (1978)
Manuscripta mathematica
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Rost, Markus (1996)
Documenta Mathematica
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R. Beazer (1974)
Colloquium Mathematicae
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T. P. Speed (1971)
Colloquium Mathematicae
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Dzhumadil'daev, A. S. (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 17A32, Secondary 17D25. An algebra (A,ο) is called Leibniz if aο(bοc) = (a ο b)ο c-(a ο c) ο b for all a,b,c ∈ A. We study identities for the algebras A(q) = (A,οq), where a οq b = a ο b+q b ο a is the q-commutator. Let Char K ≠ 2,3. We show that the class of q-Leibniz algebras is defined by one identity of degree 3 if q2 ≠ 1, q ≠−2, by two identities of degree 3 if q = −2, and by the commutativity identity and one identity...
Leon Henkin, Diane Resek (1975)
Fundamenta Mathematicae
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