E-Ideals in baric algebras: basic properties
نویسندگان
چکیده
منابع مشابه
Congruences and Ideals in Lattice Effect Algebras as Basic Algebras
Effect basic algebras (which correspond to lattice ordered effect algebras) are studied. Their ideals are characterized (in the language of basic algebras) and one-to-one correspondence between ideals and congruences is shown. Conditions under which the quotients are OMLs or MV-algebras are found.
متن کاملIdeals of BCI-algebras and their Properties
For simplicity, we use the following convention: X denotes a BCI-algebra, X1 denotes a non empty subset of X, A, I denote ideals of X, x, y, z denote elements of X, and a denotes an element of A. The following four propositions are true: (1) For all elements x, y, z, u ofX such that x ≤ y holds u\(z\x) ≤ u\(z\y). (2) For all elements x, y, z, u of X holds x \ (y \ z) \ (x \ (y \ u)) ≤ z \ u. (3...
متن کاملGeneralization of ([e], [e]∨ [c])-Ideals of BE-algebras
In this paper, using N-structure, the notion of an N-ideal in a BE-algebra is introduced. To obtain a more general form of an N-ideal, a point N-structure which is (k-conditionally) employed in an N-structure is proposed. Using these notions, the concept of an ([e], [e]∨ [ck])-ideal is introduced and related properties are investigated. The notion ([e], [e]∨ [ck])-ideal is a generalization of (...
متن کاملFrames in right ideals of $C^*$-algebras
we investigate the problem of the existence of a frame forright ideals of a C*-algebra A, without the use of the Kasparov stabilizationtheorem. We show that this property can not characterize A as a C*-algebraof compact operators.
متن کاملUltra and Involution Ideals in $BCK$-algebras
In this paper, we define the notions of ultra and involution ideals in $BCK$-algebras. Then we get the relation among them and other ideals as (positive) implicative, associative, commutative and prime ideals. Specially, we show that in a bounded implicative $BCK$-algebra, any involution ideal is a positive implicative ideal and in a bounded positive implicative lower $BCK$-semilattice, the not...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1997
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s001309150002397x