منابع مشابه
THE LEXICOGRAPHIC PRODUCT OF PO-GROUPS AND n-PERFECT PSEUDO EFFECT ALGEBRAS
We will study the existence of different types of the Riesz Decomposition Property for the lexicographic product of two partially ordered groups. A special attention will be paid to the lexicographic product of the group of the integers with an arbitrary po-group. Then we apply these results to the study of n-perfect pseudo effect algebras. We show that the category of strong n-perfect pseudo-e...
متن کاملLexicographic product vs ℚ-perfect and ℍ-perfect pseudo effect algebras
We study the Riesz decomposition property types of the lexicographic product of two po-groups. Then we apply them to the study of pseudo effect algebras which can be decomposed into a comparable system of non-void slices indexed by some subgroup of real numbers. Finally, we present their representation by the lexicographic product.
متن کاملDivisible effect algebras and interval effect algebras
It is shown that divisible effect algebras are in one-to-one correspondence with unit intervals in partially ordered rational vector spaces.
متن کاملReverse Lexicographic and Lexicographic Shifting
A short new proof of the fact that all shifted complexes are fixed by reverse lexicographic shifting is given. A notion of lexicographic shifting, ∆lex — an operation that transforms a monomial ideal of S = k[xi : i ∈ N] that is finitely generated in each degree into a squarefree strongly stable ideal — is defined and studied. It is proved that (in contrast to the reverse lexicographic case) a ...
متن کاملBL-algebras and effect algebras
Although the notions of a BL-algebra and of an effect algebra arose in rather different contextes, both types of algebras have certain structural properties in common. To clarify their mutual relation, we introduce weak effect algebras, which generalize effect algebras in that the order is no longer necessarily determined by the partial addition. A subclass of the weak effect algebras is shown ...
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ژورنال
عنوان ژورنال: Algebra universalis
سال: 2016
ISSN: 0002-5240,1420-8911
DOI: 10.1007/s00012-016-0374-3