Yaklaşımlı Yarıgruplar ve İdealler: Dijital Görüntülerin Cebirsel İncelenmesi

Bu makalede proksimal relator uzaylarında yaklaşımlı yarıgruplar ve ideallere giriş yapılmıştır. Tanımsal proksimiti bağıntısı ile birlikte dikkate alınan dijital görüntülerde yaklaşımlı yarıgrup ve ideal örnekleri verilmiştir. Bundan başka, nesne tanımlaması homomorfizması kullanılarak tanımsal yaklaşımların bazı özellikleri incelenmiştir.

Approximately Semigroups and Ideals: An Algebraic View of Digital Images

In this article, approximately semigroups and ideals in proximal relator spaces have beenintroduced. In addition to, some examples of approximately semigroups and ideals in digital images endowed with descriptive proximity relation have been given. Furthermore, some properties of descriptively approximations using object descriptive homomorphism have been obtained.

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Clifford A. and Preston G., 1964. The Algebraic Theory of Semigroups, American Mathematical Society, Providence, R.I., xv+224pp.
Efremovic? V.A., 1951. Infinitesimal spaces, Doklady Akad. Nauk SSSR (N.S.), 76, 341-343.
Efremovic? V.A., 1952. The geometry of proximity I, Mat. Sb. (N.S.), 31(73) (1), 189-200.
Kova?r M., 2011. A new causal topology and why the universe is co-compact, arXive:1112.0817[math-ph] 1-15arXiv:1112.0817.
Lodato M., 1962. On topologically induced generalized proximity relations, Ph.D. thesis, Rutgers University. Naimpally S.A. and Peters J.F., 2013. Topology with Applications, Topological Spaces via Near and Far. World Scientific, Singapore.
Peters J.F., 2013. Near sets: An introduction, Math. in Comp. Sci., 7 (1), 3-9.
Peters J.F. and Naimpally S.A., 2012. Applications of near sets.,Notices Amer. Math. Soc., 59 (4), 536-542.
Peters J.F., 2016. Proximal relator spaces,Filomat,30 (2), 469-472.
Peters J.F, I ?nan E. and Öztürk M.A., 2015. Exactness of Proximal Groupoid Homomorphisms, Adıyaman
University Journal of Science, 5 (1), 1-13. Peters J.F., I ?nan E. and Öztürk M.A., 2014. Spatial and descriptive isometries in proximity spaces, General Mathematics Notes,21 (2), 1-10.
Szaz A., 1987. Basic tools and mild continuities in relator spaces, Acta Math. Hungar., 50, 177-201.