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Khan, Madad
- Interval Valued Intuitionistic (S, T)- Fuzzy Ideals of Ternary Semigroups
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Authors
Affiliations
1 Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, PK
2 Department of Mathematics, Higher College of Technology, Muscat, OM
3 Department of Mathematics, Abdul Wali Khan University, Mardan, PK
1 Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, PK
2 Department of Mathematics, Higher College of Technology, Muscat, OM
3 Department of Mathematics, Abdul Wali Khan University, Mardan, PK
Source
Indian Journal of Science and Technology, Vol 6, No 11 (2013), Pagination: 5418–5428Abstract
In this paper, the concept of interval valued intuitionistic fuzzy ternary subsemigroup (ideal) of a ternary semigroup with respect to interval t-norm T and interval t-conorm S is given and the characteristic properties are described. We characterized some other classes of ternary semigroups by the properties these interval valued intuitionistic fuzzy ternary subsemigroup (ideal) of a ternary semigroup. The homomorphic image and inverse image are also investigated.Keywords
Ternary Semigroups, Interval Valued Intuitionistic (S, T)- Fuzzy Ternary Subsemigroups (Ideals)Full Text
References
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- Congruences and External Direct Sum of LA-Modules
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Authors
Affiliations
1 Department of Mathematics, Hazara University, Mansehra, KPK - 21310, PK
2 Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad - 22010, PK
1 Department of Mathematics, Hazara University, Mansehra, KPK - 21310, PK
2 Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad - 22010, PK
Source
Indian Journal of Science and Technology, Vol 8, No 28 (2015), Pagination:Abstract
In this paper we study a new algebraic structure namely left almost module (LA-module in short). We extend the notion of congruences to LA-modules which is defined in1 for semigroups. We show that every homomorphism defines a congruence relation on LA-modules and prove analogues of isomorphism theorems. We also define external direct sum of LA-modules and show that the internal direct sum of LA-submodules is isomorphic to the external direct sum of those LA-submodules.Keywords
Congruences, External Direct Sums, Internal Direct Sums, LA-Modules, LA-Module Homomorphism, LA-Sub ModulesFull Text