A modern Red Riding Hood on her way to Grandma’s house can meander through the woods, or drive down the interstate, or even climb a mountain to come around the back way. All those routes will get her ...

ABSTRACT: This paper investigates the connections between ring theory, module theory, and graph theory through the graph G( R ) of a ring R. We establish that vertices of G( R ) correspond to modules, ...

Gear-obsessed editors choose every product we review. We may earn commission if you buy from a link. Why Trust Us? Representation theory transforms abstract algebra groups into things like simpler ...

ABSTRACT: Let R be a commutative ring with identity and M an R-module. In this paper, we relate a graph to M, say Γ( M ) , provided tsshat when M=R , Γ( M ) is exactly the classic zero-divisor graph.

When designing applications, it is important to know when to use an abstract class and when to use an interface. Although abstract classes and interfaces seem similar in some ways, there are key ...

Abstract: A contingency table summarizes the conditional frequencies of two attributes and shows how these two attributes are dependent on each other. Thus, this table is a fundamental tool for ...

You may have seen the photo before. It captures a group of 14 men and one woman clustered together in a sparse room, staring straight at the camera with scowls of varying intensity. The painter ...

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Peter Schumer does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond ...

The Hechinger Report covers one topic: education. Sign up for our newsletters to have stories delivered to your inbox. Consider becoming a member to support our nonprofit journalism. Algebra can be ...