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a note on idempotent semirings
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نویسنده
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janelidze george ,sobral manuela
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منبع
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categories and general algebraic structures with applications - 2025 - دوره : 22 - شماره : 1 - صفحه:175 -180
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چکیده
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For a commutative semiring s, by an s-algebra we mean a commutative semiring a equipped with a homomorphism s → a. we show that the subvariety of s-algebras determined by the identities 1 + 2x = 1 and x² = x is closed under non-empty colimits. the (known) closedness of the category of boolean rings and of the category of distributive lattices under non-empty colimits in the category of commutative semirings both follow from this general statement.
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کلیدواژه
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commutative semiring ,non-empty colimit ,coreflective subcategory ,boolean algebra ,distributive lattice
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آدرس
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university of cape town, department of mathematics and applied mathematics, south africa, university of coimbra, centre for mathematics of the university of coimbra (cmuc), department of mathematics, portugal
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پست الکترونیکی
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sobral@mat.uc.pt
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Authors
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