Original Research Article

Article volume = 2022 and issue = 1

Pages: 79–89

Article publication Date: November 21, 2022

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# Q-soft cosets, characteristic Q-soft and Q-level subsets of Q-soft subgroups

#### Rasul Rasuli

Department of Mathematics, Payame Noor University(PNU), P. O. Box 19395-4697, Tehran, Iran.

##### Abstract:

In this paper, we introduce the concept $Q$-soft coset and $Q$-soft middle coset of group $G$ and investigate some of their properties and structured characteristics. Next we define characteristic $Q$-soft subgroup and generalized characteristic $Q$-soft subgroup of groups and obtain some resuls about them. Finally, we introduce $Q$-level subgroups of $Q$-soft subgroups and investigate some of their properties.

##### Keywords:

Q-soft subsets, Group theory, Q-soft subgroups, Q-soft normal subgroups, Homomorphism, Q-soft cosets, Q-level subsets.

##### References:

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##### Cite this article as:

- Rasul Rasuli, Q-soft cosets, characteristic Q-soft and Q-level subsets of Q-soft subgroups, Communications in Combinatorics, Cryptography & Computer Science, 2022(1), PP.79–89, 2022
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