Prime and weakly prime ideals in semirings 1. Introduction 2. Weakly prime ideals Page 1
Quasigroups and Related Systems 20 (2012), 197 − 202 Prime and weakly prime ideals in …

In the paper we extend some results of [1] to non commutative semirings with 1= 0. We prove
the following Theorem:(1) Let I be a subtractive ideal of a semiring R. Then I is a weakly …

Some remarks on ideals of commutative semirings 1. Introduction Page 1 Quasigroups and
Related Systems 26 (2018), 281 − 298 Some remarks on ideals of commutative semirings …

Pime ideals play very important role in semigroups and are rooted from prime numbers of
the integers. Especially, it is cornerstone on commutative rings and topological semigroups …

Atani [1] proved some results in quotient semirings using subtractive ideals. We introduce
the notion of subtractive extension of an ideal which is a generalization of subtractive ideals …

In this work, we explore ideals in semirings and polynomials over semirings. We define in
chapter one monoid ideals, semiring ideals, and subtractive ideals. Theorem 1.6 gives …

In this paper we define prime right ideals of semirings and prove that if every right ideal of a
semiring R is prime then R is weakly regular. We also prove that if the set of right ideals of R …

Sažetak Since the theory of ideals plays an important role in the theory of semirings, in this
paper we will make an intensive study of the notions of primal and weakly primal ideals in …

Prime Ideals in Semirings Page 1 <[ < rule 13eml10.4ptl <] <centerline1BULLETIN of the <quad
Bull . Malays . Math . Sci . Soc $ . ( 2 ) 34 ( 2 ) ( 201 1 ) , 417 endash-four 2 1 $ l <centerline1Malaysian …

Ideal theory in graded semirings Page 1 Appl. Math. Inf. Sci. 7, No. 1, 87-91 (2013) 87 Applied
Mathematics & Information Sciences An International Journal c© 2013 NSP Natural Sciences …