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ideals and congruences in l-algebras and pre-l-algebras
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نویسنده
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facchini alberto ,gran marino ,pompili mara
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منبع
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categories and general algebraic structures with applications - 2025 - دوره : 23 - شماره : 1 - صفحه:169 -182
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چکیده
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We link the recent theory of l-algebras to previous notions of universal algebra and categorical algebra concerning subtractive varieties, commutators, multiplicative lattices, and their spectra. we show that the category of l-algebras is subtractive and normal in the sense of zurab janelidze, but neither the category of l-algebras nor that of pre-l-algebras are mal’tsev categories, hence in particular they are not semi-abelian. therefore l-algebras are a rather peculiar example of an algebraic structure.
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کلیدواژه
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l-algebras ,ideals ,subtractive and normal categories ,commutators
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آدرس
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universit`a di padova, dipartimento di matematica “tullio levi-civita”, italy, université catholique delouvain, institut de recherche en mathématique et physique, belgium, university of graz, department of mathematics and scientific computing, austria
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پست الکترونیکی
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mara.pompili@uni-graz.at
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Authors
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