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• W4300787525 startingPage "18553" @default.
• W4300787525 abstract "<abstract><p>In universal algebra, it is well-known that if $ S $ is an algebraic structure, then the kind of algebraic structure of $ S/rho $ is similar to $ S $ where $ rho $ is a congruence relation on $ S $. In this work, we study the notion of a full $ k $-ideal $ A $ of an $ n $-ary semiring $ S $ and construct a congruence relation $ rho $ on $ S $ with respect to the full $ k $-ideal $ A $ in order to make the quotient $ n $-ary semiring $ S/rho $ to be an $ n $-ary ring. Moreover, the notion of an $ h $-ideal of an $ n $-ary semiring was studied and connections between an $ h $-ideal and a $ k $-ideal of an $ n $-ary semiring were investigated.</p></abstract>" @default.
• W4300787525 created "2022-10-04" @default.
• W4300787525 creator A5031452772 @default.
• W4300787525 creator A5038275096 @default.
• W4300787525 date "2022-01-01" @default.
• W4300787525 modified "2023-10-14" @default.
• W4300787525 title "On $ n $-ary ring congruences of $ n $-ary semirings" @default.
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• W4300787525 doi "https://doi.org/10.3934/math.20221019" @default.
• W4300787525 hasPublicationYear "2022" @default.
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