On categories of structures and classes of algebras

J. Jeżek

Displaying similar documents to “On categories of structures and classes of algebras”

Peano-algebras and quasi-algebras

J. Słomiński

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CONTENTSIntroduction.................................................................................................................... 5§ 1. Fundamental concepts for quasi-algebras..................................................... 5§ 2. Peano-algebras.................................................................................................... 13§ 3. Peano-algebras and free quasi-algebras....................................................... 25§ 4. Theorems concerning free...

A theory of extensions of quasi-algebras to algebras

J. Słomiński

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CONTENTSINTRODUCTION...................................................................................................................................................................... 31. TERMS NOTATION AND LEMMAS.................................................................................................................................. 4A. Quasi-algebras and algebras..........................................................................................................................................................................

Erratum/addendum to the paper: "Quasi -algebras and generalized inductive limits of C-algebras" (Studia Math. 202 (2011), 165-190)

Giorgia Bellomonte, Camillo Trapani (2013)

Studia Mathematica

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Cellular algebras and quasi-hereditary algebras: a comparison.

König, Steffen, Xi, Changchang (1999)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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Universal Enveloping Algebras of Nonassociative Structures

Tvalavadze, Marina (2012)

Serdica Mathematical Journal

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2010 Mathematics Subject Classification: Primary 17D15. Secondary 17D05, 17B35, 17A99. This is a survey paper to summarize the latest results on the universal enveloping algebras of Malcev algebras, triple systems and Leibniz n-ary algebras.

The class of 2-dimensional neat reducts is not elementary

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...