Results 31 to 40 of about 321,441 (313)
Convexities of lattice ordered groups [PDF]
, 1996 summary:In this paper an injective mapping of the class of all infinite cardinals into the collection of all convexities of lattice ordered groups is constructed; this generalizes an earlier result on convexities of $d ...
Jakubík, Ján
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Intuitionistic fuzzy lattice ordered G-modules [PDF]
Journal of Fuzzy Extension and ApplicationsThe investigation of mathematics underlines accuracy, precision, and flawlessness, yet in numerous genuine circumstances, individuals face equivocalness, ambiguity, imprecision, and so forth.
Poonam Sharma
doaj +1 more source
Sequential convergences on free lattice ordered groups [PDF]
, 1992 summary:In this paper the partially ordered set Conv $G$ of all sequential convergences on $G$ is investigated, where $G$ is either a free lattice ordered group or a free abelian lattice ordered ...
Jakubík, Ján
core +1 more source
Word posets, with applications to Coxeter groups [PDF]
Electronic Proceedings in Theoretical Computer Science, 2011 We discuss the theory of certain partially ordered sets that capture the structure of commutation classes of words in monoids. As a first application, it follows readily that counting words in commutation classes is #P-complete.
Matthew J. Samuel
doaj +1 more source
Metric spaces related to Abelian groups
Applied General Topology, 2021 When working with a metric space, we are dealing with the additive group (R, +). Replacing (R, +) with an Abelian group (G, ∗), offers a new structure of a metric space. We call it a G-metric space and the induced topology is called the G-metric topology.
Amir Veisi, Ali Delbaznasab
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Convex $L$-lattice subgroups in $L$-ordered groups [PDF]
Categories and General Algebraic Structures with Applications, 2018 In this paper, we have focused to study convex $L$-subgroups of an $L$-ordered group. First, we introduce the concept of a convex $L$-subgroup and a convex $L$-lattice subgroup of an $L$-ordered group and give some examples.
Rajabali Borzooei +2 more
doaj
On the Order Sequence of a Group
The Electronic Journal of CombinatoricsThis paper provides a bridge between two active areas of research, the spectrum (set of element orders) and the power graph of a finite group. The order sequence of a finite group $G$ is the list of orders of elements of the group, arranged in non-decreasing order.
Peter J. Cameron, Hiranya Kishore Dey
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On a Theorem on Ordered Groups [PDF]
Proceedings of the Glasgow Mathematical Association, 1958 The following work establishes a new proof of the theorem: Every archimedean ordered group is abelian. This theorem has been proved differently by many authors. It was first proved by O. Hölder [2]. A second proof has been given by H. Cartan [1]: he uses the topology which is naturally introduced in the group by its order.
openaire +2 more sources
Proof Theory and Ordered Groups
, 2017 Ordering theorems, characterizing when partial orders of a group extend to total orders, are used to generate hypersequent calculi for varieties of lattice-ordered groups (ℓ-groups).
Metcalfe, George +3 more
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The mixed product decompositions of partially ordered groups [PDF]
, 1970 summary:In the paper it is proved that a nontrivial direct product of lattice ordered groups is never affine ...
Jakubík, Ján +3 more
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