Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On primal ideals over semigroups
Authors: S. E. Atani and A. Y. Darani
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Abstract
Let S be a commutative cancellation torsion-free additive semigroup with identity 0 and let S != {0}. This paper is devoted to study some properties of primal ideals and quasi- primary ideals of the semigroup S. First, a number of results concerning of these ideals are given. Second, we characterize primal ideals and quasi-primary ideals of a Prüfer semigroup and show that in such semigroup, the three concepts: primary, quasi-primary, and primal coincide.S. E. Atani
Department of Mathematics,
University of Guilan,
P.O. Box 1914, Rasht,
Iran.
E-mail:
__________________-
A. Y. Darani
Department of Mathematics,
University of Guilan,
P.O. Box 1914, Rasht,
Iran.
E-mail:
Department of Mathematics,
University of Guilan,
P.O. Box 1914, Rasht,
Iran.
E-mail:
__________________-
A. Y. Darani
Department of Mathematics,
University of Guilan,
P.O. Box 1914, Rasht,
Iran.
E-mail:
Fulltext
– 0.18 Mb
Contents
- Anti fuzzy Lie ideals of Lie algebras
- Actions of a subgroup of the modular group on an imaginary quadratic field
- On primal ideals over semigroups
- Finite hexagonal quasigroups
- On n-ary semigroups with adjoint neutral element
- Left regular and intra-regular ordered semigroups in terms of fuzzy subsets
- On the prime graph of L2(q), where q=p^alpha<100
- The application of DES, IDEA and AES in strong encryption
- A graphical technique to obtain homomorphic images of Delta(2,3,11)
- Ideals in AG-band and AG*-groupoid
- Skew endomorphisms on n-ary groups
