Approximately rings in proximal relator spaces
Approximately rings in proximal relator spaces
This article introduces approximately rings, approximately ideals, and approximately rings of all approximatelycosets by considering new operations on the set of all approximately cosets. Afterwards, some properties ofapproximately rings and ideals were given.
___
- [1] Efremovic̆VA. The geometry of proximity I. Matematicheski Sbornik (N.S.) 1952; 31 (73) (1): 189-200.
- [2] İnan E. Approximately groups in proximal relator spaces. Communication Faculty Science University Ankara Ser.
A1 Mathematics Statistics 2019; 68 (1): 572-582.
- [3] İnan E. Approximately semigroups and ideals: an algebraic view of digital images. Afyon Kocatepe University
Journal of Science and Engineering. 2017; 17: 479-487.
- [4] İnan E. Approximately subgroups in proximal relator spaces. Adıyaman University Journal of Science 2018; 8 (1):
24-41.
- [5] İnan E, Uçkun M. Approximately Γ-semigroups in proximal relator spaces. Applicable Algebra in Engineering
Communication and Computing 2019; 30 (4): 299-311.
- [6] Kovăr M. A new causal topology and why the universe is co-compact, arXiv:1112.0817 [math-ph] 2011; 1-15.
- [7] Lodato M. On topologically induced generalized proximity relations. PhD, Rutgers University, 1962.
- [8] Muammer K. ST2 , ΔT2 , ST3 , ΔT3 , Tychonoff, compact and ∂ -connected objects in the category of proximity
spaces. Hacettepe Journal of Mathematics and Statistics 2019; 48: 490-500.
- [9] Naimpally SA, Peters JF. Topology with Applications: Topological Spaces via Near and Far. Singapore: World
Scientific, 2013.
- [10] Peters JF. Near Sets: An Introduction. Mathematics Computer Science 2013; 7 (1): 3-9.
- [11] Peters JF. Proximal relator spaces. Filomat 2019; 30 (2): 469-472.
- [12] Peters JF, Öztürk MA, Uçkun M. Exactness of Proximal Groupoid Homomorphisms. Adıyaman University Journal
of Science 2015; 5 (1): 1-13.
- [13] Peters JF, İnan E, Öztürk MA. Spatial and descriptive isometries in proximity spaces. General Mathematics Notes
2014; 21 (2): 1-10.