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pro vyhledávání: '"Bruno Bosbach"'
Autor:
Bruno Bosbach
Publikováno v:
Results in Mathematics. 53:27-51
Residuation is the most natural counterpart of multiplication and has been considered over a period of about 80 years in various roles and situations, e.g. as generalised ideal quotient on the one hand, and as generalised implication on the other han
Autor:
Bruno Bosbach
Publikováno v:
Results in Mathematics. 41:40-67
Inspired by the monograph of Larsen/McCarthy, [26], in [10] and [11] the author started a series of articles concerning abstract multiplicative ideal theory along the problem lines of [26]. In this paper we turn to multiplicative lattices having the
Autor:
Rainer Bodendiek, Bruno Bosbach
Publikováno v:
Results in Mathematics. 41:3-17
Autor:
Bruno Bosbach
Publikováno v:
Acta Mathematica Hungarica. 95:53-73
Inspired by the monograph of {Larsen/McCarthy} the author\break started a series of articles concerning abstract multiplicative ideal theory along the lines of [23]. In the present paper we turn to archimedean Pr\"ufer structures, that is to algebrai
Autor:
Bruno Bosbach
Publikováno v:
Algebra Universalis. 44:47-64
Autor:
Bruno Bosbach
Publikováno v:
Results in Mathematics. 37:36-46
Based on the notion of an algebraic m-lattice Open image in new window an abstract commutative ideal theory for commutative monoids is developed. Open image in new window is called classical iff it is modular and if for each prime p the mapping \(a\m
Autor:
Bruno Bosbach
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 34:45-64
By a divisibility semigroup we mean an algebra (S,., ∧) satisfying (Al) (S,.) is a semigroup; (A2) (S, ∧) is a semilattice; (A3).A divisibility semigroup is called representable if it admits a subdirect decomposition into totally ordered factors.
Autor:
Bruno Bosbach
Publikováno v:
Czechoslovak Mathematical Journal. 39:528-543
Autor:
Bruno Bosbach
Publikováno v:
Archiv der Mathematik. 37:316-324
Autor:
Bruno Bosbach
Publikováno v:
Semigroup Forum. 12:137-143
In this paper we study inverse Tbk-semigroups [cf.1,2.]. We shall show that every inverse Tbk-semigroup is a subdirect product of 1-groups with or without 0, and we shall give necessary and sufficient conditions for (S,·,∩) to be a direct product