A topological representation of Post algebras and free Post algebras
نویسندگان
چکیده
منابع مشابه
Topological Representation of Precontact Algebras
The notions of 2-precontact and 2-contact spaces as well as of extensional (and other kinds) 3-precontact and 3-contact spaces are introduced. Using them, new representation theorems for the precontact and contact algebras (satisfying some additional axioms) are proved. They incorporate and strengthen both the discrete and topological representation theorems from [3, 1, 2, 4, 10]. It is shown t...
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In addition to exploring constructions and properties of limits and colimits in categories of topological algebras, we study special subcategories of topological algebras and their properties. In particular, under certain conditions, reflective subcategories when paired with topological structures give rise to reflective subcategories and epireflective subcategories give rise to epireflective s...
متن کاملON TOPOLOGICAL EQ-ALGEBRAS
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متن کاملPost algebras in 3-rings
A unitary commutative ring of characteristic 3 and 3-potent is called a 3-ring. We prove that every polynomial of a 3-ring is uniquely determined by its restriction on the subring {0, 1, 2} (the Verification Theorem). Then we establish an isomorphism between the category of 3-rings and the category of Post algebras of order 3.
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1974
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-31-1-1-9