Št. zadetkov: 10
Izvirni znanstveni članek
Oznake:
BCI-algebra;BCK-algebra;closure operation;finite type closure operation;
In this article we study the (finite-type, cl-closed) closure operations on ideals of a BCK-algebra, with an emphasis on structural properties. Also we give several theorems that make different closure operations, especially on a quotient and Noetherian BCK-algebra. In particular, we show that the i ...
Leto:
2016
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Izvirni znanstveni članek
Oznake:
BCI-algebra;BCK-algebra;closure operation;finite type closure operation;semi-prime closure operation;
In this paper we study the (good) semi-prime closure oper- ations on ideals of a BCK-algebra, lower BCK-semilattice, Noetherian BCK-algebra and meet quotient ideal and then we give several theorems that make different (good) semi-prime closure operations. Moreover, by giving some examples, we show t ...
Leto:
2015
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Izvirni znanstveni članek
Oznake:
lower BCK-semilattice;relative annihilator;implicative ideal;positive implicative ideal;commutative ideal;
As a generalization of annihilators, the notion of a relative annihilator is introduced, and their properties are investigated. Conditions for a relative annihilator to be an implicative (resp., positive implicative, commutative) ideal are discussed.
Leto:
2017
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Izvirni znanstveni članek
Oznake:
N-structures;translation;closed support;
The notion of a left (resp., right) NI-ideal is introduced, and related properties are investigated. Characterizations of a left (resp., right) NI-ideal are considered. Translations of a left (resp., right) NI-ideal are studied. We show that the homomorphic image (preimage) of a left (resp., right) ...
Leto:
2018
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Izvirni znanstveni članek
Oznake:
non-zero meet element;meet ideal;relative annihilator;
The notion of semi-prime (resp., meet) weak closure operation is introduced and related properties are investigated. Characterizations of a semi-prime (resp. meet) closure operation are discussed. Examples show that the notion of semi-prime weak closure operation is independent of the notion of meet ...
Leto:
2017
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Izvirni znanstveni članek
Oznake:
(strong) quasi prime mapping;t-type weak closure operation;naive weak closure operation;
The notions of (strong) quasi prime mapping on the set of all ideals, t- type weak closure operation, and tender (resp., naive, sheer, feeble tender) weak closure operation are introduced, and their relations and properties are investigated. Conditions for a weak closure operation to be of t-type ar ...
Leto:
2017
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Izvirni znanstveni članek
Oznake:
subalgebra;internal cubic subalgebra;external cubic subalgebra;
A characterization of cubic subalgebra is established. The notion of
internal and external cubic subalgebra in BCK\BCI-algebra, and several properties
are investigated. The R-union, R-intersection, P-union, and P-intersection of internal
and external cubic subalgebras in BCK=BCI-algebra are discu ...
Leto:
2021
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Izvirni znanstveni članek
Oznake:
closure spaces;algebra;finite difference method;commutative algebra;implication;
Weak closure operation, which is more general form than closure operation, on ideals of BCK- algebras is introduced, and related properties are investigated. Regarding weak closure operation, finite type and (strong) quasi-primeness are considered. Also positive implicative (resp., commutative and i ...
Leto:
2017
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Izvirni znanstveni članek
Oznake:
lower BCK-semilattice;meet sets;meet ideal;plus ideal;meet operation;semiring;
The notion of the meet set based on two subsets of a lower BCK-semilattice X is introduced, and related properties are investigated. Conditions for the meet set to be a (positive implicative, commutative, implicative) ideal are discussed. The meet ideal based on subsets, and the plus ideal of two su ...
Leto:
2017
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)
Izvirni znanstveni članek
Oznake:
double-framed soft hyper BCK-algebra;double-framed soft hyper BCK-ideal;algebra;
The notions of double-framed soft hyper BCK-algebra and double-framed soft (strong) hyper BCK-ideal of a hyper BCK-algebra are introduced, and related properties are investigated. Characterizations of double-framed soft hyper BCK-algebra and double- framed soft hyper BCK-ideal are considered. Relati ...
Leto:
2021
Vir:
Repozitorij Univerze v Novi Gorici (RUNG)