TY - JOUR A2 - Yang, Bo AU - Jun, Young Bae AU - Ahn, Sun Shin AU - Lee, Kyoung Ja PY - 2011 DA - 2011/12/29 TI - Falling 𝑑 -Ideals in 𝑑 -Algebras SP - 516418 VL - 2011 AB - Based on the theory of a falling shadow which was first formulated by Wang (1985), atheoretical approach of the ideal structure in d-algebras is established. The notions of afalling d-subalgebra, a falling d-ideal, a falling BCK-ideal, and a falling d-ideal of a d-algebra are introduced. Some fundamental properties are investigated. Relations among afalling d-subalgebra, a falling d-ideal, a falling BCK-ideal, and a falling d-ideal are stated. Characterizations of falling d-ideals and falling d-ideals are discussed. A relation betweena fuzzy d-subalgebra and a falling d-subalgebra is provided. SN - 1026-0226 UR - https://doi.org/10.1155/2011/516418 DO - 10.1155/2011/516418 JF - Discrete Dynamics in Nature and Society PB - Hindawi Publishing Corporation KW - ER -