Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Sugato Gupta"'
Publikováno v:
Bulletin of Computational Applied Mathematics, Vol 6, Iss 1, Pp 59-82 (2018)
The soft category theory offers a way to study soft theories developed so far more generally. The main purpose of this paper is to introduce the basic algebraic operations in soft categories, and for that we introduce some algebraic operations, like
Externí odkaz:
https://doaj.org/article/49867651b8074cfcb70464578f6ca7cf
Publikováno v:
Afrika Matematika. 29:371-381
In this paper we introduce the notion of Gabriel topology on semirings as well as on bisemimodules with unities. We also show that there is a lattice isomorphism between the Gabriel topologies on semirings and those on bisemimodules connected via Mor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c6f746c2925afb2a1a84536f924013e4
https://doi.org/10.1007/s13370-018-0547-7
https://doi.org/10.1007/s13370-018-0547-7
Publikováno v:
Algebra Colloquium. 22:985-1000
We show that the left operator semiring and the right operator semiring of a Nobusawa Γ-semiring with unities are Morita equivalent. The converse is also deduced, i.e., for two Morita equivalent semirings L and R, a Nobusawa Γ-semiring A with uniti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c48c4d28ba155dc8309ff4dba2b62417
https://doi.org/10.1142/s1005386715000826
https://doi.org/10.1142/s1005386715000826
Autor:
Sugato Gupta, Sujit Kumar Sardar
Publikováno v:
Semigroup Forum. 92:71-76
In this paper we observe that important ideals like prime ideals, nil ideals, nilpotent ideals, primary ideals etc. remain invariant under strong Morita equivalence of semigroups with weak local units. As a consequence, some radicals and important pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6d30aef0cbe495ff43cf2c31a75ba690
https://doi.org/10.1007/s00233-014-9682-0
https://doi.org/10.1007/s00233-014-9682-0
Publikováno v:
Asian-European Journal of Mathematics. 12:1950023
The main purpose of the paper is to consider two Morita equivalent semirings [Formula: see text] and [Formula: see text] via Morita context [Formula: see text] instead of considering them via the equivalence of the resulting semimodule categories and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a1c6a793a2e201310f84aded946efa2
https://doi.org/10.1142/s1793557119500232
https://doi.org/10.1142/s1793557119500232
Autor:
Sugato Gupta, Sujit Kumar Sardar
Publikováno v:
Asian-European Journal of Mathematics. 11:1850014
The purpose of this paper is to investigate the counterparts of most of our results on Morita invariants of semirings for semimodules. Among others, we obtain the lattice isomorphisms between the set of all ideals and set of all subsemimodules corres
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5209fc11cded89a3bbe8208e466b609c
https://doi.org/10.1142/s1793557118500146
https://doi.org/10.1142/s1793557118500146
Autor:
Sugato Gupta, Sujit Kumar Sardar
Publikováno v:
Journal of Algebra and Its Applications. 15:1650023
In this paper we revisit that ideal lattices and congruence lattices are preserved by Morita equivalence of semirings which is originally obtained implicitly by Katsov and his co-authors. This is then used to obtain some Morita invariants for semirin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::19828be42125a5c5b7d90a3d10066c3e
https://doi.org/10.1142/s0219498816500237
https://doi.org/10.1142/s0219498816500237