Geodesic
On Nilpotent Rings of Order $p^4$ with Some Additional Properties
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 3, pp. 53-69

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In this paper, indecomposable nilpotent rings of order $p^4$ and of index $3$ satisfied the identity $x^2=0$ have been described. Moreover, indecomposable nilpotent rings of order $p^4$ and of index $3$ that have an element of additive order $p^t$ ($t\in\{3,4\}$) have been classified.
Keywords: finite ring, nilpotent ring. 
@article{VNGU_2013_13_3_a4,
     author = {A. S. Kuzmina},
     title = {On {Nilpotent} {Rings} of {Order} $p^4$ with {Some} {Additional} {Properties}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {53--69},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2013_13_3_a4/}
}
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A. S. Kuzmina. On Nilpotent Rings of Order $p^4$ with Some Additional Properties. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 3, pp. 53-69. http://geodesic.mathdoc.fr/item/VNGU_2013_13_3_a4/