Soft M-Ideals and Soft S-Ideals in Soft S-Algebras

Abstract

In this paper, we first introduce and discuss new classes of ideals in − d algebra like M Ideals and S Ideals. Also, we introduce new classes of soft algebras they are called soft S algebras. Next, we use our new connotations to introduce and investigate new concepts in soft S − algebras like soft M − Ideals and soft S − Ideals. In this work, we prove that every S − Ideal is M − Ideal. Moreover, we show that it is not necessary every M − Ideal of ℑ is S − Ideal of ℑ by a counterexample. Also, some properties of our connotations are given.

On permutation G-part in permutation Q-algebras

“…Different fields [5][6][7][8][9][10][11][12] examine symmetric and alternating groups, as well as their permutations. Some kinds of pure mathematics using different types of the sets, such as permutation sets 13 , fuzzy sets [14][15][16][17][18][19][20] , and soft sets [21][22][23][24][25][26] , have been researched and their properties debated and discussed their properties in recent years.…”

A study of neutrosophic regular generalized b-closed sets in neutrosophic topological spaces

“…In 2020, (NTS introduced and investigated the connotation of a . Some non-clasical sets like, soft [8][9][10][11][12][13] , fuzzy [14][15][16][17] , nano 18 , permutation [19][20][21][22][23][24][25][26] , and other sets in different fields [27][28][29][30][31][32][33][34]…”

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“…Permutations in groups are studied in a variety of domains 5,6,7,8,9,10,11,12 . Many types of non-classical sets in topology, groups, and algebras, including as permutation sets 13,14,15,16,17,18,19,20 , fuzzy 21,22,23,24,25,6,27,28,29,30,31,32 , soft 33,34,35,36,37,38,39,40 , nano sets 41 , neutrosophic sets 42,43,44,45,46,47,48,49 , and others 50,51 have examined and addressed some notions and features.…”