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March  2020, 28(1): 459-469. doi: 10.3934/era.2020026

## The digital smash product

 Department of Mathematics, Ege University, Bornova, 35100, Izmir, Turkey

* Corresponding author: ozgur.ege@ege.edu.tr

Received  November 2019 Published  March 2020

In this paper, we construct the smash product from the digital viewpoint and prove some its properties such as associativity, distributivity, and commutativity. Moreover, we present the digital suspension and the digital cone for an arbitrary digital image and give some examples of these new concepts.

Citation: Ismet Cinar, Ozgur Ege, Ismet Karaca. The digital smash product. Electronic Research Archive, 2020, 28 (1) : 459-469. doi: 10.3934/era.2020026
##### References:

show all references

##### References:
$2$-adjacency in $\mathbb{Z}$
$4$ and $8$ adjacencies in $\mathbb{Z}^2$
$6$, $18$ and $26$ adjacencies in $\mathbb{Z}^3$
Digital $0-$sphere $S_0$ and digital $1$-sphere $S_1$
$S_1\times S_0$ and $S_1\wedge S_0$
$S_0\times I$ and $S_0\wedge I$
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