Topical functions on semimodules and generalizations
type: Item
instance of: scholarly article
title: Topical functions on semimodules and generalizations
zbMATH Open document ID: 1284.06048
author: Ivan Singer
author: Viorel Niţică
published in: Linear Algebra and its Applications
publication date: 2012-11-09T00:00:00Z
Mathematics Subject Classification ID: 06F25
Mathematics Subject Classification ID: 06F30
Mathematics Subject Classification ID: 16Y60
Mathematics Subject Classification ID: 15A80
Mathematics Subject Classification ID: 26B25
Mathematics Subject Classification ID: 52A01
zbMATH DE Number: 6104551
zbMATH Keywords: semiring
zbMATH Keywords: semifield
zbMATH Keywords: semimodule
zbMATH Keywords: topical function
zbMATH Keywords: strongly supertopical function
zbMATH Keywords: subtopical function
zbMATH Keywords: elementary function
zbMATH Keywords: quasi-elementary function
zbMATH Keywords: \(\wedge\)-linear function
zbMATH Keywords: elementary affine function
zbMATH Keywords: quasi-elementary affine function
zbMATH Keywords: \(\wedge\)-affine function
zbMATH Keywords: downward set
MaRDI profile type: Publication
full work available at URL: j.laa.2012.06.021
OpenAlex ID: W2062180234
cites work: SEPARATION THEOREM WITH RESPECT TO SUB-TOPICAL FUNCTIONS AND ABSTRACT CONVEXITY
cites work: Q4304869
cites work: Q5331549
cites work: Duality and separation theorems in idempotent semimodules.
cites work: Q3213662
cites work: Monotonic Analysis over Cones: I
cites work: Idempotent functional analysis: An algebraic approach
cites work: Q5494175
cites work: Topical and sub-topical functions, downward sets and abstract convexity
cites work: On radiant sets, downward sets, topical functions and sub-topical functions in lattice ordered groups
cites work: Elementary topical functions on \(b\)-complete semimodules over \(b\)-complete idempotent semifields
DOI: 10.1016/J.LAA.2012.06.021
description: scientific article; zbMATH DE number 6104551