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  1.  57
    Plain semi-post algebras as a poset-based generalization of post algebras and their representability.Nguyen Cat Ho & Helena Rasiowa - 1989 - Studia Logica 48 (4):509 - 530.
    Semi-Post algebras of any type T being a poset have been introduced and investigated in [CR87a], [CR87b]. Plain Semi-Post algebras are in this paper singled out among semi-Post algebras because of their simplicity, greatest similarity with Post algebras as well as their importance in logics for approximation reasoning ([Ra87a], [Ra87b], [RaEp87]). They are pseudo-Boolean algebras generated in a sense by corresponding Boolean algebras and a poset T. Every element has a unique descending representation by means of elements in a corresponding (...)
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  2.  33
    Subalgebras and homomorphisms of semi-post algebras.Nguyen Cat Ho & Helena Rasiowa - 1987 - Studia Logica 46 (2):161 - 175.
    Semi-Post algebras have been introduced and investigated in [6]. This paper is devoted to semi-Post subalgebras and homomorphisms. Characterization of semi-Post subalgebras and homomorphisms, relationships between subalgebras and homomorphisms of semi-Post algebras and of generalized Post algebras are examined.
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  3.  42
    Semi-post algebras.Nguyen Cat Ho & Helena Rasiowa - 1987 - Studia Logica 46 (2):149 - 160.
    In this paper, semi-Post algebras are introduced and investigated. The generalized Post algebras are subcases of semi-Post algebras. The so called primitive Post constants constitute an arbitrary partially ordered set, not necessarily connected as in the case of the generalized Post algebras examined in [3]. By this generalization, semi-Post products can be defined. It is also shown that the class of all semi-Post algebras is closed under these products and that every semi-Post algebra is a semi-Post product of some generalized (...)
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