Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
![]() |
![]() ![]() |
![]() KASHU, A.. On partial inverse operations in the lattice of submodules. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2012, nr. 2(69), pp. 59-73. ISSN 1024-7696. |
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(69) / 2012 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
|
||||||
Pag. 59-73 | ||||||
|
||||||
![]() |
||||||
Rezumat | ||||||
In the present work two partial operations in the lattice of submodules L(RM) are defined and investigated. They are the inverse operations for ω-product and ω-coproduct studied in [6]. This is the continuation of the article [7], in which the similar questions for the operations of ω-product and !-coproduct are investigated. The partial inverse operation of left quotient N/Θ• K of N by K with respect to ω-product is introduced and similarly the right quotient N :\ K of K by N with respect to ω-coproduct is defined, where N,K Є L(rM). The criteria of existence of such quotients are indicated, as well as the different forms of representation, the main properties, the relations with lattice operations in L(rM), the conditions of cancellation and other related questions are elucidated.
|
||||||
Cuvinte-cheie Ring, module, lattice, Preradical, (co)product of preradical |
||||||
|
DataCite XML Export
<?xml version='1.0' encoding='utf-8'?> <resource xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xmlns='http://datacite.org/schema/kernel-3' xsi:schemaLocation='http://datacite.org/schema/kernel-3 http://schema.datacite.org/meta/kernel-3/metadata.xsd'> <creators> <creator> <creatorName>Caşu, A.I.</creatorName> <affiliation>Institutul de Matematică şi Informatică al AŞM, Moldova, Republica</affiliation> </creator> </creators> <titles> <title xml:lang='en'>On partial inverse operations in the lattice of submodules</title> </titles> <publisher>Instrumentul Bibliometric National</publisher> <publicationYear>2012</publicationYear> <relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1024-7696</relatedIdentifier> <subjects> <subject>Ring</subject> <subject>module</subject> <subject>lattice</subject> <subject>Preradical</subject> <subject>(co)product of preradical</subject> </subjects> <dates> <date dateType='Issued'>2012-07-02</date> </dates> <resourceType resourceTypeGeneral='Text'>Journal article</resourceType> <descriptions> <description xml:lang='en' descriptionType='Abstract'>In the present work two partial operations in the lattice of submodules L(RM) are defined and investigated. They are the inverse operations for ω-product and ω-coproduct studied in [6]. This is the continuation of the article [7], in which the similar questions for the operations of ω-product and !-coproduct are investigated. The partial inverse operation of left quotient N/Θ• K of N by K with respect to ω-product is introduced and similarly the right quotient N :\ K of K by N with respect to ω-coproduct is defined, where N,K Є L(rM). The criteria of existence of such quotients are indicated, as well as the different forms of representation, the main properties, the relations with lattice operations in L(rM), the conditions of cancellation and other related questions are elucidated. </description> </descriptions> <formats> <format>application/pdf</format> </formats> </resource>