"Beyond Knuth's notation for unimaginable numbers within computational number theory"; Accepted: 14 April 2021.

"Weak stuffle algebras", Accepted: 15 April 2021.

"On a property of the ideals of the polynomial ring R[x] ", Accepted: 23 April 2021.

"On S-primary submodules", Accepted: 5 May 2021.

"On lattices associated to rings with respect to a preradical", Accepted: 21 May 2021.

"On $+\infty$-$\omega_0$-generated field extensions", Accepted: 24 May 2021.

"Counting non-isomorphic generalized Hamilton quaternions", Accepted: 5 June 2021.

"Deriving some properties of Stanley-Reisner rings from their squarefree zero-divisor graphs", Accepted: 11 June 2021.

"On I-finite Left Quasi-duo Rings", Accepted: 15 June 2021.

"On quartic Diophantine equations with trivial solutions in the Gaussian integers", Accepted: 4 July 2021.

"Property Of Defect Diminishing And Stability", Accepted: 16 July 2021.

"On Bell polynomials associated to Vasyunin cotangent sums", Accepted: 15 September 2021.

"Coregular sequences and top local homology modules", Accepted: 8 October 2021.

"On two questions of Nicholson", Accepted: 10 October 2021.

"The hom-associative Weyl algebras in prime characteristic", Accepted: 14 October 2021.

"Graded S-1-absorbing Prime Submodules in Graded Multiplication Modules", Accepted: 29 September 2021.