On a theorem of Cantor-Bernstein type for algebras
نویسندگان
چکیده
منابع مشابه
Cantor-Bernstein theorem for pseudo BCK-algebras
For any σ-complete Boolean algebras A and B, if A is isomorphic to [0, b] ⊆ B and B is isomorphic to [0, a] ⊆ A, then A B. Recently, several generalizations of this known CantorBernstein type theorem for MV-algebras, (pseudo) effect algebras and `-groups have appeared in [1], [2], [4] and [5]. We prove an analogous result for certain pseudo BCK-algebras—a noncommutative extension of BCK-algebra...
متن کاملCantor-bernstein Theorem for Lattices
This paper is a continuation of a previous author’s article; the result is now extended to the case when the lattice under consideration need not have the least element.
متن کاملCSM25 - The Cantor-Schröder-Bernstein Theorem
Given two finite sets, questions about the existence of different types of functions between these two sets are easy to solve, as there are finitely many such functions and so one many simply enumerate them. Further more, if one has two injective functions then it is intuitively obvious that both such functions are bijections (although not necessarily the inverses of each other). However, when ...
متن کاملA Cantor-Bernstein Theorem for Paths in Graphs
As every vertex of this graph has one “outgoing” and at most one “incoming” edge, each of those components is a cycle or an infinite path. In each of these paths and cycles we now select every other edge to mark the desired bijection. The Cantor-Bernstein problem, rephrased as above for graphs, has a natural generalization to paths. Let G be any graph, and let A and B be disjoint sets of vertic...
متن کاملBoolean and Central Elements and Cantor-Bernstein Theorem in Bounded Pseudo-BCK-Algebras?
Georgescu and Iorgulescu [3] introduced pseudo-BCK-algebras (in a slightly different way) as a non-commutative generalization of BCK-algebras, in the sense that if →= , then the algebra (A,→, 1) is a BCK-algebra. Pseudo-BCK-algebras relate to (non-commutative) residuated lattices as BCK-algebras do to commutative residuated lattices; specifically, by [6], pseudoBCK-algebras are just the 〈→, , 1...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2008
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-008-0001-3