Ideals in non-commutative lattices
نویسندگان
چکیده
منابع مشابه
Non-commutative Residuated Lattices*
Introduction and summary. In the theory of non-commutative rings certain distinguished subrings, one-sided and two-sided ideals, play the important roles. Ideals combine under crosscut, union and multiplication and hence are an instance of a lattice over which a non-commutative multiplication is defined.f The investigation of such lattices was begun by W. Krull (Krull [3]) who discussed decompo...
متن کاملNon–commutative Symmetric Differences in Orthomodular Lattices
We deal with the following question: What is the proper way to introduce symmetric difference in orthomodular lattices? Imposing two natural conditions on this operation, six possibilities remain: the two (commutative) normal forms of the symmetric difference in Boolean algebras and four noncommutative terms. It turns out that in many respects the non-commutative forms, though more complex with...
متن کاملConcept Lattices under Non-commutative Conjunctors Are Generalized Concept Lattices
Generalized concept lattices have been recently proposed to deal with uncertainty or incomplete information as a non-symmetric generalization of the theory of fuzzy formal concept analysis. On the other hand, concept lattices have been defined as well in the framework of fuzzy logics with noncommutative conjunctors. The contribution of this paper is to prove that any concept lattice for non-com...
متن کاملOn Preimages of Ideals in Certain Non–commutative Algebras
In this paper we present new algorithms for non–commutative Gröbner ready algebras, which enable one to perform advanced operations with ideals and modules. In spite of the big interest in algorithmic treatment of related problems, preimage of ideal and central character decomposition were not discussed before. An important algorithm for computation of the kernel of a homomorphism of left modul...
متن کاملSome Operator Ideals in Non-commutative Functional Analysis
We characterize classes of linear maps between operator spaces E, F which factorize through maps arising in a natural manner via the Pisier vector-valued non-commutative L spaces Sp[E ∗] based on the Schatten classes on the separable Hilbert space l. These classes of maps can be viewed as quasi-normed operator ideals in the category of operator spaces, that is in noncommutative (quantized) func...
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: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1958
ISSN: 0386-2194
DOI: 10.3792/pja/1195524599