PRIME IDEALS IN TERNARY SEMIGROUPS

2009 ◽  
Vol 02 (01) ◽  
pp. 141-154 ◽  
Author(s):  
Muhammad Shabir ◽  
Shahida Bashir
Keyword(s):  
Prime Ideals ◽  
Ternary Semigroup

In this paper we define prime, semiprime and irreducible ideals in ternary semigroups. We also define semisimple ternary semigroups and prove that a ternary semigroup is semisimple if and only if each of its ideals is semiprime.

N-ideals of commutative rings

Filomat ◽  
2017 ◽  
Vol 31 (10) ◽  
pp. 2933-2941 ◽  
Author(s):  
Unsal Tekir ◽  
Suat Koc ◽  
Kursat Oral
Keyword(s):  
Commutative Ring ◽  
Commutative Rings ◽  
Proper Ideal ◽  
Prime Ideals ◽  
Nonzero Identity

In this paper, we present a new classes of ideals: called n-ideal. Let R be a commutative ring with nonzero identity. We define a proper ideal I of R as an n-ideal if whenever ab ? I with a ? ?0, then b ? I for every a,b ? R. We investigate some properties of n-ideals analogous with prime ideals. Also, we give many examples with regard to n-ideals.

On minimal prime ideals of commutative Bezout rings

1999 ◽  
Vol 51 (7) ◽  
pp. 1129-1134
Author(s):  
B. V. Zabavskii ◽  
A. I. Gatalevich
Keyword(s):  
Prime Ideals ◽  
Minimal Prime

A note on prime ideals which test injectivity

1987 ◽  
Vol 15 (3) ◽  
pp. 471-478 ◽  
Author(s):  
John A. Beachy ◽  
William D. Weakley
Keyword(s):  
Prime Ideals

Prime ideals in fixed rings II

1982 ◽  
Vol 10 (5) ◽  
pp. 449-455 ◽  
Author(s):  
Martin Lorenz ◽  
Susan Montgomery ◽  
L.W. Small
Keyword(s):  
Prime Ideals

On a class of closed prime ideals inH∞

2005 ◽  
Vol 50 (13) ◽  
pp. 1011-1023 ◽  
Author(s):  
Keiji Izuchi ◽  
Yuko Izuchi
Keyword(s):  
Prime Ideals

scholarly journals Fuzzy prime ideals of rings

1988 ◽  
Vol 134 (1) ◽  
pp. 94-103 ◽  
Author(s):  
U.M Swamy ◽  
K.L.N Swamy
Keyword(s):  
Prime Ideals
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