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Polyhedral products associated with polyhedral join products [PDF]

Polyhedral products are a fundamental object in topology, unifying constructions across toric topology, combinatorics and commutative algebra. Determining their homotopy type is a major goal of study of these objects. In this work, we consider how operations on the underlying simplicial complex change the homotopy type of the associated polyhedral ...
Eldridge, Briony Helen
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Joins and Direct Products of Equational Classes

Canadian Mathematical Bulletin, 1969
Let K0 and K1 be equational classes of algebras of the same type. The smallest equational class K containing K0 and K1 is the join of K0 and K1; in notation, K = K0 ∨ K1. The direct product K0 × K1 is the class of all algebras α which are isomorphic to an algebra of the form a0 × a1, a0 ∈ K1.
Grätzer, G., Lakser, H., Płonka, Jerzy
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Kronecker Products and Local Joins of Graphs

Canadian Journal of Mathematics, 1977
When studying the category raph of finite graphs and their morphisms, Ave can exploit the fact that this category has products, [we define these ideas in detail in § 2]. This categorical product of graphs is usually called their Kronecker product, though it has been approached by various authors in various ways and under various names, including tensor
Farzan, M., Waller, D. A.
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Rotation and Crossing Numbers for Join Products

Bulletin of the Malaysian Mathematical Sciences Society, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Join operations in temporal databases [PDF]

VLDB Journal, 2005
Joins are arguably the most important relational operators. Poor implementations are tantamount to computing the Cartesian product of the input relations. In a temporal database, the problem is more acute for two reasons.
Christian S Jensen, Dengfeng Gao, Snodgrass Richard T   +2 more
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Joins and subdirect products of varieties

Algebra universalis, 2011
According to a classical theorem by \textit{G. Grätzer, H. Lakser} and \textit{J. Płonka} [``Joins and direct products of equational classes'', Can. Math. Bull. 12, 741--744 (1969; Zbl 0188.04903)], independent varieties have two rather pleasant properties: (i) they are disjoint, and (ii) \(\mathcal{V}_{1}\vee \mathcal{V}_{2}=\mathcal{V}_{1}\times ...
Kowalski Tomasz, PAOLI, FRANCESCO
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Finding Optimal Join Tree forMulti-Join Stream Queries in a Production System

26th IEEE International Conference on Distributed Computing Systems Workshops (ICDCSW'06), 2006
Data Stream Management Systems (DSMS) handle a particular type of database applications that involve multiple continuous data streams with inputs arriving at highly variable and unpredictable rates. Since data rate fluctuates over time in this type of applications the appropriate join tree is crucial for maintaining high system throughput.
Joseph S. Gomes, Hyeong-Ah Choi
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Horocycle Flows, Joinings and Rigidity of Products

The Annals of Mathematics, 1983
This is a fairly long and technical paper in which a number of interesting results are proved. The paper is divided into two parts: part I deals with joinings of horocylce flows; part II deals with rigidity of products of horocycle flows. We quote a sample result from each part which, hopefully, will convey the flavour of the results but which are ...
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