Soft Structures of Monoids and Fields
P. Gnanachandra1, A. Muneesh kumar2
1P.Gnanachandra*, Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College, Sivakasi, India.
2A.Muneesh kumar, Centre for Research and Post Graduate Studies in Mathematics, Ayya Nadar Janaki Ammal College, Sivakasi, India.
Manuscript received on March 05, 2020. | Revised Manuscript received on March 16, 2020. | Manuscript published on April 30, 2020. | PP: 502-505 | Volume-9 Issue-4, April 2020. | Retrieval Number: C5767029320/2020©BEIESP | DOI: 10.35940/ijeat.C5767.049420
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The ultimate purpose of this article is to introduce and examine some new kind of algebraic structures such as Soft topological fields, Soft topological groups and Soft monoids with illustrating counter examples. Also we established that every Soft field over a topological field is a Soft topological field and we have given an example GF(16), the finite field of 16 elements which is a soft topological field.
Keywords: Soft topological field, Soft topological groups, Soft monoids, Soft field AMS Classification: 06D72, 22A05, 28C10, 54H11.