TARU PUBLICATIONS
Author

Z. D. Al-Nafie

Department of Mathematics College of Education for Pure Sciences University of Babylon, Babylon, 51002, Iraq

Published papers
6
Citations
0
Views
476
Downloads
46

Publications

6 papers
Open Access Research Article·pp. 1585–1596·Vol. 29, Issue 5-BMay 2026

Smooth differential structures of bornological algebra induced via directed limits of Frechet spaces

Hasan Ali Naser, Z. D. Al-Nafie

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2551

In this paper: This paper presents new results on bornological algebras over LF-spaces, in which bounded sets are stable under differentiation, multiplication, and addition, and the space of smooth functions on the...

AbstractReferencesFull Text PDF (632 KB)Views: 21Downloads: 8Citations: 0
Open Access Research Article·pp. 1635–1644·Vol. 29, Issue 5-BMay 2026

New results in bornological algebra of smooth mappings

Hasan Ali Naser, Z. D. Al-Nafie

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2552

In this paper: This paper presents new results in bornological algebra, focusing on smooth mappings under certain conditions. We apply our results to solve dynamic problems using the derived bornological algebra the...

AbstractReferencesFull Text PDF (520 KB)Views: 23Downloads: 15Citations: 0
Open Access Research Article·pp. 1059–1064·Vol. 28, Issue 3-BApr 2025

Ɲ_b- paracompactness in nano topological spaces

Intisar Mohammed Jawad, Z. D. Al-Nafie

Published Online: 08 May 2025DOI: 10.47974/JIM-2079

In this paper: A New type of nano topological spaces (N.T.S.), termed nano b-open sets(briefly Ɲ_b-open), is established. explored of this work. Since a nano topology includes at most five set, so developing novel s...

AbstractReferencesFull Text PDF (435 KB)Views: 107Downloads: 5Citations: 0
Open Access Research Article·pp. 795–800·Vol. 28, Issue 3-AApr 2025

Linearity of differentiable mappings of locally convex algebras

Muayad G. Mohsin, Z. D. Al-Nafie

Published Online: 08 May 2025DOI: 10.47974/JIM-1975

In this paper: In this paper  introduced the concept σ-Differentiability over a locally convex algebra A (breifly(A,σ)-Differentiability) of mappings constructed by a system of bounded subsets in a convex algebra, a...

AbstractReferencesFull Text PDF (412 KB)Views: 82Downloads: 7Citations: 0
Open Access Research Article·pp. 667–673·Vol. 27, Issue 4Jun 2024

Regularity and normality of nano topological spaces modeled by pre-open sets structures

Ghufran Ali Hussein, Z. D. Al-Nafie

Published Online: 30 Jun 2024DOI: 10.47974/JIM-1738

In this paper: A new class of Nano topological spaces, termed nano pre-open sets, are presented and explored in this article. Since the Nano topology contains at most five sets, we establish new structures of nano o...

AbstractReferencesFull Text PDF (486 KB)Views: 164Downloads: 4Citations: 0