Results 11 to 20 of about 369 (191)
Monoid Valuations and Value Ordered Supervaluations [PDF]
Communications in Algebra, 2011 We complement two papers on supertropical valuation theory ([IKR1],[IKR2]) by providing natural examples of m-valuations (= monoid valuations), after that of supervaluations and transmissions between them. The supervaluations discussed have values in totally ordered supertropical semirings, and the transmissions discussed respect the orderings.
Zur Izhakian +2 more
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Non-singular covers over ordered monoid rings [PDF]
Mathematica Bohemica, 2006 Summary: Let \(G\) be a multiplicative monoid. If \(RG\) is a non-singular ring such that the class of all non-singular \(RG\)-modules is a cover class, then the class of all non-singular \(R\)-modules is a cover class. These two conditions are equivalent whenever \(G\) is a well-ordered cancellative monoid such that for all elements \(g,h\in G\) with \
Ladislav Bican
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Increasing positive monoids of ordered fields are FF-monoids [PDF]
Journal of Algebra, 2018 17 ...
Felix Gotti
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Mathematica Slovaca, 2014 Abstract An ordered monoid S in which every principal left ideal, regarded as an S-poset, is projective is called an ordered left PP monoid, for short, an ordered lpp monoid. In this paper, we introduce a new kind of ordered relations instead of Green relations adopted by J. B. Fountain, ordered lpp monoids are described by these ordered
Xiaoping Shi
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Perfect residuated lattice ordered monoids [PDF]
Mathematica Slovaca, 2010 Abstract Bounded Rℓ-monoids form a large subclass of the class of residuated lattices which contains certain of algebras of fuzzy and intuitionistic logics, such as GMV-algebras (= pseudo-MV-algebras), pseudo-BL-algebras and Heyting algebras.
Jiří Rachůnek, Dana Šalounová
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Topographic spaces over ordered monoids
Mathematics for Application, 2015 A topography on a set is considered to be a collection of features described by two valuations: distance and elevation. Spaces with such structure will be studied on a general level, with generalized metric (gem) and pseudometric (pseudogem). We show many pseudogem distances and characteristics, particularly those related to the elevation function.
Ján Pavlík
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Geometry of Autometrized Lattice Ordered Monoids [PDF]
SINET: Ethiopian Journal of ScienceIn this paper, we study the geometry of AL-monoids by introducing the concept of metric betweeness and its properties t1, t2,, B-linearity, D-linearity, lattice betweeness, B-linearity, and Dlinearity, segments and equilateral triangles. It is proved that there do not exist equilateral triangles in AL-monoids.
Tekalign Regasa Ashale +2 more
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Resource convertibility and ordered commutative monoids [PDF]
Mathematical Structures in Computer Science, 2015 Resources and their use and consumption form a central part of our life. Many branches of science and engineering are concerned with the question of which given resource objects can be converted into which target resource objects. For example, information theory studies the conversion of a noisy communication channel instance into an exchange of ...
TOBIAS FRITZ
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On twisted ordered monoid rings over quasi-Baer rings
Le Matematiche, 2011 In this paper we show that if M is an Ordered monoid then the twisted monoid ring R^T M is (left principally) quasi-Baer if and only if R is (left principally) quasi-Baer.
Ahmad Ageeb +2 more
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Monoids, Boolean Algebras, Materially Ordered Sets
, 2018 In this paper, the interplay between certain mathematical structures is elucidated. First, it is shown that there is a one-to-one correspondence between bounded half-lattices and commutative idempotent monoids (c.i.-monoids). Adding certain additional structural ingredients and axioms, such c.i.-momoids become Boolean algebras.
Walter Noll, Brian Seguin
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