TY - CHAP
T1 - On Ideals of Compatible Θ Γ N-Group
AU - Nayak, Hamsa
AU - Kuncham, Syam Prasad
AU - Kedukodi, Babushri Srinivas
N1 - Funding Information:
Acknowledgements The authors thank the reviewers for their suggestions. All authors acknowledge Manipal Institute of Technology, Manipal Academy of Higher Education for their encouragement. The first author acknowledges Manipal Academy of Higher Education for the financial support under MU-PhD Scholarship.
Funding Information:
The authors thank the reviewers for their suggestions. All authors acknowledge Manipal Institute of Technology, Manipal Academy of Higher Education for their encouragement. The first author acknowledges Manipal Academy of Higher Education for the financial support under MU-PhD Scholarship.
Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
PY - 2023
Y1 - 2023
N2 - The algebraic structure Θ Γ N-Group is a generalization of N-Group and gamma nearring. We say that a Θ Γ N-Group G is compatible if N is a subgroup of G. A compatible Θ Γ N-Group has important structural properties, a basic one being that it can be partitioned in another interesting way as compared to Θ Γ N-Group. We use the additional structure naturally possessed by the ideal of a compatible Θ Γ N-Group to obtain isomorphism theorems.
AB - The algebraic structure Θ Γ N-Group is a generalization of N-Group and gamma nearring. We say that a Θ Γ N-Group G is compatible if N is a subgroup of G. A compatible Θ Γ N-Group has important structural properties, a basic one being that it can be partitioned in another interesting way as compared to Θ Γ N-Group. We use the additional structure naturally possessed by the ideal of a compatible Θ Γ N-Group to obtain isomorphism theorems.
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U2 - 10.1007/978-981-99-2310-6_24
DO - 10.1007/978-981-99-2310-6_24
M3 - Chapter
AN - SCOPUS:85167889316
T3 - Indian Statistical Institute Series
SP - 473
EP - 482
BT - Indian Statistical Institute Series
PB - Springer Science and Business Media B.V.
ER -