التفاصيل البيبلوغرافية
| العنوان: |
S-IDEALS IN ALMOST SEMILATTICES. |
| المؤلفون: |
Rao, G. Nanaji, Swapna, Ch., Beyene, Terefe Getachew |
| المصدر: |
Journal of International Mathematical Virtual Institute; 2019, p225-239, 15p |
| مصطلحات موضوعية: |
SEMILATTICES, ISOMORPHISM (Mathematics), INTERSECTION numbers, MATHEMATICAL equivalence, MATHEMATICS |
| مستخلص: |
The concepts of strong ideal (S-ideal) and prime S-ideal in an Almost Semilattice (ASL) are introduced and given certain examples of S-ideal in an ASL. Proved several basic properties of S-ideals in an ASL. Established the set PSI(L), of all principal S-ideals in an ASL L form a semilattice. We proved an isomorphism of the semilattice SI(L) of all S-ideals in an ASL L onto the semilattice of all ideals of a semilattice PSI(L), moreover, this isomorphism gives one-to-one correspondence between the prime S-ideals of L and those of PSI(L). Proved that every amicable set in an ASL L is embedded in a semilattice PSI(L). Derived the semilattices PSI(L) and PF(L) are isomorphic. Obtain a set of equivalent conditions for an intersection of any family of filters is again a filter in terms of principal S-ideals. Finally, we proved that the filter lattice F(L) of all filters in an ASL L and the filter lattice F(PSI(L)) of all filters in ASL PSI(L) are isomorphic. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
