Pseudocomplementation and minimal prime ideals in semirings
نویسندگان
چکیده
منابع مشابه
Prime bi-ideals and prime fuzzy bi-ideals in semirings
In this paper, we initiate the study of prime bi-ideals (fuzzy bi-ideals) in semirings. We define strongly prime, prime, semiprime, irreducible and strongly irreducible bi-ideals in semirings. We also define strongly prime, semiprime, irreducible, strongly irreducible fuzzy bi-ideals of semirings. We characterize those semirings in which each bi-ideal (fuzzy bi-ideal) is prime (strongly prime).
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متن کاملOn quasi-ideals and bi-ideals in ternary semirings
Good and Hughes [9] introduced the notion of bi-ideal and Steinfeld [11, 12] introduced the notion of quasi-ideal. Sioson [10] studied some properties of quasi-ideals of ternary semigroups. In [1], Dixit and Dewan studied about the quasi-ideals and bi-ideals of ternary semigroups. Quasi-ideals are generalization of right ideals, lateral ideals, and left ideals whereas bi-ideals are generalizati...
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ژورنال
عنوان ژورنال: Algebra universalis
سال: 2018
ISSN: 0002-5240,1420-8911
DOI: 10.1007/s00012-018-0496-x