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Where Mathematical Symbols Come From
Topics in Cognitive Science, Volume 18, Issue 1, Page 169-186, January 2026.Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley +1 more source
On the domination and signed domination numbers of zero-divisor graph
Electronic Journal of Graph Theory and Applications, 2016 Let $R$ be a commutative ring (with 1) and let $Z(R)$ be its set of zero-divisors. The zero-divisor graph $\Gamma(R)$ has vertex set $Z^*(R)=Z(R) \setminus \lbrace0 \rbrace$ and for distinct $x,y \in Z^*(R)$, the vertices $x$ and $y$ are adjacent if and ...
Ebrahim Vatandoost, Fatemeh Ramezani
doaj +1 more source
Review of: "Zero-Divisor Graphs of ℤ_n, their products and D_n" [PDF]
, 2023 Imran Javaid
openalex +3 more sources
Discrete Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Avinash Patil +2 more
openaire +2 more sources
Zero-Divisor Graphs of Order-Decreasing Full Transformation Semigroups
, 2022 Kemal TOKER, Zeynep EŞİDİR
openalex +2 more sources
, 2019 A famous conjecture about group algebras of torsion-free groups states that there is no zero divisor in such group algebras. A recent approach to settle the conjecture is to show the non-existence of zero divisors with respect to the length of possible ...
Abdollahi, Alireza, Taheri, Zahra
core
Prime Rings with Involution Whose Symmetric Zero-Divisors are Nilpotent [PDF]
, 1973 P. M. Cohn
openalex +1 more source
Categorial properties of compressed zero-divisor graphs of finite commutative rings
, 2018 We define a compressed zero-divisor graph $\varTheta(K)$ of a finite commutative unital ring $K$, where the compression is performed by means of the associatedness relation.
Jevđenić, Sara +2 more
core
Homogeneity of zero-divisors, units and colon ideals in a graded ring [PDF]
, 2021 Abolfazl Tarizadeh
openalex +1 more source
Ain Shams Engineering JournalThis paper investigates the outer multiset dimension (OMSD) of compressed zero-divisor graphs (CZDGs) associated with finite commutative rings (CRs). For a given ring A, the classical zero-divisor graph (ZDG) is refined by compressing its nodes based on ...
Amina Riaz +3 more
doaj +1 more source