Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
Qurʾān Bukhārī Muslim Nasāʾī Abū Dāwūd Tirmidhī Ibn Mājah Mālik Aḥmad Dārimī Ḥākim Ibn Ḥibbān Ṭabarānī Nasāʾī's Kubrá Bayhaqī al-Luʾluʾ wa-al-Marjān Ibn Rajab's Fifty Riyāḍ al-Ṣāliḥīn Aḥmad's Zuhd Suyūṭī
quran:36:58 –

˹And˺ "Peace," a word from a Merciful Lord.  

“Peace!” (salāmun is a subject) — the word (qawlan is its predicate), that is, ˹peace˺ by way of a word, from a Lord ˹Who is˺ Merciful, to them, in other words, He says to them, ‘Peace be on you!’
القرآن:٣٦:٥٨ –

سَلَامٌ قَوْلًا مِنْ رَبٍّ رَحِيمٍ  

{سلام} مبتدأ {قولا} أي بالقول خبره {من رب رحيم} بهم، أي يقول لهم: سلام عليكم.